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Finding the Fourth Proportional to 15,223.74, 22,840.20 and 5,864.64

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Solution

The fourth proportional to 15,223.74, 22,840.20 and 5,864.64 is: 8,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.74 : 22,840.20 = 5,864.64 : x
  2. Step 2: Convert to fraction form
    15,223.74/22,840.20 = 5,864.64/x
  3. Step 3: Cross multiply
    15,223.74x = 22,840.20 × 5,864.64
  4. Step 4: Simplify right side
    15,223.74x = 133,949,550.53
  5. Step 5: Solve for x
    x = 133,949,550.53/15,223.74
  6. Step 6: Final answer
    x = 8,798.73

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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.