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Finding the Fourth Proportional to 24,856.66, 37,294.71 and 9,275.50

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Solution

The fourth proportional to 24,856.66, 37,294.71 and 9,275.50 is: 13,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.66 : 37,294.71 = 9,275.50 : x
  2. Step 2: Convert to fraction form
    24,856.66/37,294.71 = 9,275.50/x
  3. Step 3: Cross multiply
    24,856.66x = 37,294.71 × 9,275.50
  4. Step 4: Simplify right side
    24,856.66x = 345,927,082.61
  5. Step 5: Solve for x
    x = 345,927,082.61/24,856.66
  6. Step 6: Final answer
    x = 13,916.88

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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.