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Finding the Fourth Proportional to 14,820.50, 22,235.91 and 7,423.31

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Solution

The fourth proportional to 14,820.50, 22,235.91 and 7,423.31 is: 11,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820.50 : 22,235.91 = 7,423.31 : x
  2. Step 2: Convert to fraction form
    14,820.50/22,235.91 = 7,423.31/x
  3. Step 3: Cross multiply
    14,820.50x = 22,235.91 × 7,423.31
  4. Step 4: Simplify right side
    14,820.50x = 165,064,053.06
  5. Step 5: Solve for x
    x = 165,064,053.06/14,820.50
  6. Step 6: Final answer
    x = 11,137.55

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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.