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Finding the Fourth Proportional to 24,010.53, 36,011.69 and 9,211.83

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Solution

The fourth proportional to 24,010.53, 36,011.69 and 9,211.83 is: 13,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.53 : 36,011.69 = 9,211.83 : x
  2. Step 2: Convert to fraction form
    24,010.53/36,011.69 = 9,211.83/x
  3. Step 3: Cross multiply
    24,010.53x = 36,011.69 × 9,211.83
  4. Step 4: Simplify right side
    24,010.53x = 331,733,419.73
  5. Step 5: Solve for x
    x = 331,733,419.73/24,010.53
  6. Step 6: Final answer
    x = 13,816.17

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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.