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Finding the Fourth Proportional to 24,006.72, 36,015.84 and 9,215.76

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Solution

The fourth proportional to 24,006.72, 36,015.84 and 9,215.76 is: 13,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.72 : 36,015.84 = 9,215.76 : x
  2. Step 2: Convert to fraction form
    24,006.72/36,015.84 = 9,215.76/x
  3. Step 3: Cross multiply
    24,006.72x = 36,015.84 × 9,215.76
  4. Step 4: Simplify right side
    24,006.72x = 331,913,337.64
  5. Step 5: Solve for x
    x = 331,913,337.64/24,006.72
  6. Step 6: Final answer
    x = 13,825.85

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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.