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Finding the Fourth Proportional to 12,374.09, 18,530.37 and 8,658.92

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Solution

The fourth proportional to 12,374.09, 18,530.37 and 8,658.92 is: 12,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.09 : 18,530.37 = 8,658.92 : x
  2. Step 2: Convert to fraction form
    12,374.09/18,530.37 = 8,658.92/x
  3. Step 3: Cross multiply
    12,374.09x = 18,530.37 × 8,658.92
  4. Step 4: Simplify right side
    12,374.09x = 160,452,991.40
  5. Step 5: Solve for x
    x = 160,452,991.40/12,374.09
  6. Step 6: Final answer
    x = 12,966.85

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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.