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Finding the Fourth Proportional to 12,502.54, 18,762.72 and 9,224.20

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Solution

The fourth proportional to 12,502.54, 18,762.72 and 9,224.20 is: 13,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.54 : 18,762.72 = 9,224.20 : x
  2. Step 2: Convert to fraction form
    12,502.54/18,762.72 = 9,224.20/x
  3. Step 3: Cross multiply
    12,502.54x = 18,762.72 × 9,224.20
  4. Step 4: Simplify right side
    12,502.54x = 173,071,081.82
  5. Step 5: Solve for x
    x = 173,071,081.82/12,502.54
  6. Step 6: Final answer
    x = 13,842.87

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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.