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Finding the Fourth Proportional to 24,694.08, 37,024.72 and 13,606

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Solution

The fourth proportional to 24,694.08, 37,024.72 and 13,606 is: 20,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.08 : 37,024.72 = 13,606 : x
  2. Step 2: Convert to fraction form
    24,694.08/37,024.72 = 13,606/x
  3. Step 3: Cross multiply
    24,694.08x = 37,024.72 × 13,606
  4. Step 4: Simplify right side
    24,694.08x = 503,758,340.32
  5. Step 5: Solve for x
    x = 503,758,340.32/24,694.08
  6. Step 6: Final answer
    x = 20,399.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.