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Finding the Fourth Proportional to 24,809.40, 34,237.02 and 13,478.78

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Solution

The fourth proportional to 24,809.40, 34,237.02 and 13,478.78 is: 18,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.40 : 34,237.02 = 13,478.78 : x
  2. Step 2: Convert to fraction form
    24,809.40/34,237.02 = 13,478.78/x
  3. Step 3: Cross multiply
    24,809.40x = 34,237.02 × 13,478.78
  4. Step 4: Simplify right side
    24,809.40x = 461,473,260.44
  5. Step 5: Solve for x
    x = 461,473,260.44/24,809.40
  6. Step 6: Final answer
    x = 18,600.74

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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.