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Finding the Fourth Proportional to 18,414.90, 25,412.49 and 10,456.74

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Solution

The fourth proportional to 18,414.90, 25,412.49 and 10,456.74 is: 14,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.90 : 25,412.49 = 10,456.74 : x
  2. Step 2: Convert to fraction form
    18,414.90/25,412.49 = 10,456.74/x
  3. Step 3: Cross multiply
    18,414.90x = 25,412.49 × 10,456.74
  4. Step 4: Simplify right side
    18,414.90x = 265,731,800.68
  5. Step 5: Solve for x
    x = 265,731,800.68/18,414.90
  6. Step 6: Final answer
    x = 14,430.26

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