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Finding the Fourth Proportional to 24,082.46, 36,127.14 and 7,443.94

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Solution

The fourth proportional to 24,082.46, 36,127.14 and 7,443.94 is: 11,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.46 : 36,127.14 = 7,443.94 : x
  2. Step 2: Convert to fraction form
    24,082.46/36,127.14 = 7,443.94/x
  3. Step 3: Cross multiply
    24,082.46x = 36,127.14 × 7,443.94
  4. Step 4: Simplify right side
    24,082.46x = 268,928,262.53
  5. Step 5: Solve for x
    x = 268,928,262.53/24,082.46
  6. Step 6: Final answer
    x = 11,166.98

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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.