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Finding the Fourth Proportional to 24,085.71, 36,130.19 and 9,294.75

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Solution

The fourth proportional to 24,085.71, 36,130.19 and 9,294.75 is: 13,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.71 : 36,130.19 = 9,294.75 : x
  2. Step 2: Convert to fraction form
    24,085.71/36,130.19 = 9,294.75/x
  3. Step 3: Cross multiply
    24,085.71x = 36,130.19 × 9,294.75
  4. Step 4: Simplify right side
    24,085.71x = 335,821,037.03
  5. Step 5: Solve for x
    x = 335,821,037.03/24,085.71
  6. Step 6: Final answer
    x = 13,942.75

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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.