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Finding the Fourth Proportional to 24,082.42, 36,126.06 and 9,085.78

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Solution

The fourth proportional to 24,082.42, 36,126.06 and 9,085.78 is: 13,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.42 : 36,126.06 = 9,085.78 : x
  2. Step 2: Convert to fraction form
    24,082.42/36,126.06 = 9,085.78/x
  3. Step 3: Cross multiply
    24,082.42x = 36,126.06 × 9,085.78
  4. Step 4: Simplify right side
    24,082.42x = 328,233,343.11
  5. Step 5: Solve for x
    x = 328,233,343.11/24,082.42
  6. Step 6: Final answer
    x = 13,629.58

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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.