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Finding the Fourth Proportional to 12,502.72, 18,722.34 and 7,501.95

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Solution

The fourth proportional to 12,502.72, 18,722.34 and 7,501.95 is: 11,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.72 : 18,722.34 = 7,501.95 : x
  2. Step 2: Convert to fraction form
    12,502.72/18,722.34 = 7,501.95/x
  3. Step 3: Cross multiply
    12,502.72x = 18,722.34 × 7,501.95
  4. Step 4: Simplify right side
    12,502.72x = 140,454,058.56
  5. Step 5: Solve for x
    x = 140,454,058.56/12,502.72
  6. Step 6: Final answer
    x = 11,233.88

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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.