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Finding the Fourth Proportional to 17,686.50, 24,407.37 and 10,234.50

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Solution

The fourth proportional to 17,686.50, 24,407.37 and 10,234.50 is: 14,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.50 : 24,407.37 = 10,234.50 : x
  2. Step 2: Convert to fraction form
    17,686.50/24,407.37 = 10,234.50/x
  3. Step 3: Cross multiply
    17,686.50x = 24,407.37 × 10,234.50
  4. Step 4: Simplify right side
    17,686.50x = 249,797,228.27
  5. Step 5: Solve for x
    x = 249,797,228.27/17,686.50
  6. Step 6: Final answer
    x = 14,123.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.