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Finding the Fourth Proportional to 21,414.50, 29,570.25 and 13,470.02

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Solution

The fourth proportional to 21,414.50, 29,570.25 and 13,470.02 is: 18,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.50 : 29,570.25 = 13,470.02 : x
  2. Step 2: Convert to fraction form
    21,414.50/29,570.25 = 13,470.02/x
  3. Step 3: Cross multiply
    21,414.50x = 29,570.25 × 13,470.02
  4. Step 4: Simplify right side
    21,414.50x = 398,311,858.91
  5. Step 5: Solve for x
    x = 398,311,858.91/21,414.50
  6. Step 6: Final answer
    x = 18,600.10

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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.