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Finding the Fourth Proportional to 24,082.40, 36,126.30 and 7,442.30

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Solution

The fourth proportional to 24,082.40, 36,126.30 and 7,442.30 is: 11,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.40 : 36,126.30 = 7,442.30 : x
  2. Step 2: Convert to fraction form
    24,082.40/36,126.30 = 7,442.30/x
  3. Step 3: Cross multiply
    24,082.40x = 36,126.30 × 7,442.30
  4. Step 4: Simplify right side
    24,082.40x = 268,862,762.49
  5. Step 5: Solve for x
    x = 268,862,762.49/24,082.40
  6. Step 6: Final answer
    x = 11,164.28

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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.