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Finding the Fourth Proportional to 22,841.70, 34,262.55 and 13,000.20

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Solution

The fourth proportional to 22,841.70, 34,262.55 and 13,000.20 is: 19,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.70 : 34,262.55 = 13,000.20 : x
  2. Step 2: Convert to fraction form
    22,841.70/34,262.55 = 13,000.20/x
  3. Step 3: Cross multiply
    22,841.70x = 34,262.55 × 13,000.20
  4. Step 4: Simplify right side
    22,841.70x = 445,420,002.51
  5. Step 5: Solve for x
    x = 445,420,002.51/22,841.70
  6. Step 6: Final answer
    x = 19,500.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.