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Finding the Fourth Proportional to 24,909.72, 37,356.38 and 9,111.16

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Solution

The fourth proportional to 24,909.72, 37,356.38 and 9,111.16 is: 13,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.72 : 37,356.38 = 9,111.16 : x
  2. Step 2: Convert to fraction form
    24,909.72/37,356.38 = 9,111.16/x
  3. Step 3: Cross multiply
    24,909.72x = 37,356.38 × 9,111.16
  4. Step 4: Simplify right side
    24,909.72x = 340,359,955.20
  5. Step 5: Solve for x
    x = 340,359,955.20/24,909.72
  6. Step 6: Final answer
    x = 13,663.74

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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.