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Finding the Fourth Proportional to 27,123.96, 40,686.25 and 9,353.83

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Solution

The fourth proportional to 27,123.96, 40,686.25 and 9,353.83 is: 14,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123.96 : 40,686.25 = 9,353.83 : x
  2. Step 2: Convert to fraction form
    27,123.96/40,686.25 = 9,353.83/x
  3. Step 3: Cross multiply
    27,123.96x = 40,686.25 × 9,353.83
  4. Step 4: Simplify right side
    27,123.96x = 380,572,234.56
  5. Step 5: Solve for x
    x = 380,572,234.56/27,123.96
  6. Step 6: Final answer
    x = 14,030.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.