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Finding the Fourth Proportional to 22,841.40, 34,319.70 and 14,525.40

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Solution

The fourth proportional to 22,841.40, 34,319.70 and 14,525.40 is: 21,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.40 : 34,319.70 = 14,525.40 : x
  2. Step 2: Convert to fraction form
    22,841.40/34,319.70 = 14,525.40/x
  3. Step 3: Cross multiply
    22,841.40x = 34,319.70 × 14,525.40
  4. Step 4: Simplify right side
    22,841.40x = 498,507,370.38
  5. Step 5: Solve for x
    x = 498,507,370.38/22,841.40
  6. Step 6: Final answer
    x = 21,824.73

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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.