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Finding the Fourth Proportional to 24,892.50, 34,352.28 and 13,714.50

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Solution

The fourth proportional to 24,892.50, 34,352.28 and 13,714.50 is: 18,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.50 : 34,352.28 = 13,714.50 : x
  2. Step 2: Convert to fraction form
    24,892.50/34,352.28 = 13,714.50/x
  3. Step 3: Cross multiply
    24,892.50x = 34,352.28 × 13,714.50
  4. Step 4: Simplify right side
    24,892.50x = 471,124,344.06
  5. Step 5: Solve for x
    x = 471,124,344.06/24,892.50
  6. Step 6: Final answer
    x = 18,926.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.