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Finding the Fourth Proportional to 24,711.53, 37,082.51 and 9,716.01

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Solution

The fourth proportional to 24,711.53, 37,082.51 and 9,716.01 is: 14,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.53 : 37,082.51 = 9,716.01 : x
  2. Step 2: Convert to fraction form
    24,711.53/37,082.51 = 9,716.01/x
  3. Step 3: Cross multiply
    24,711.53x = 37,082.51 × 9,716.01
  4. Step 4: Simplify right side
    24,711.53x = 360,293,876.86
  5. Step 5: Solve for x
    x = 360,293,876.86/24,711.53
  6. Step 6: Final answer
    x = 14,579.99

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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.