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Finding the Fourth Proportional to 24,036.76, 36,038.16 and 9,233.20

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Solution

The fourth proportional to 24,036.76, 36,038.16 and 9,233.20 is: 13,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036.76 : 36,038.16 = 9,233.20 : x
  2. Step 2: Convert to fraction form
    24,036.76/36,038.16 = 9,233.20/x
  3. Step 3: Cross multiply
    24,036.76x = 36,038.16 × 9,233.20
  4. Step 4: Simplify right side
    24,036.76x = 332,747,538.91
  5. Step 5: Solve for x
    x = 332,747,538.91/24,036.76
  6. Step 6: Final answer
    x = 13,843.28

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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.