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Finding the Fourth Proportional to 15,234.42, 22,840.83 and 5,866.64

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Solution

The fourth proportional to 15,234.42, 22,840.83 and 5,866.64 is: 8,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.42 : 22,840.83 = 5,866.64 : x
  2. Step 2: Convert to fraction form
    15,234.42/22,840.83 = 5,866.64/x
  3. Step 3: Cross multiply
    15,234.42x = 22,840.83 × 5,866.64
  4. Step 4: Simplify right side
    15,234.42x = 133,998,812.71
  5. Step 5: Solve for x
    x = 133,998,812.71/15,234.42
  6. Step 6: Final answer
    x = 8,795.79

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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.