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Finding the Fourth Proportional to 12,658.59, 18,977.12 and 7,731.69

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Solution

The fourth proportional to 12,658.59, 18,977.12 and 7,731.69 is: 11,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.59 : 18,977.12 = 7,731.69 : x
  2. Step 2: Convert to fraction form
    12,658.59/18,977.12 = 7,731.69/x
  3. Step 3: Cross multiply
    12,658.59x = 18,977.12 × 7,731.69
  4. Step 4: Simplify right side
    12,658.59x = 146,725,170.27
  5. Step 5: Solve for x
    x = 146,725,170.27/12,658.59
  6. Step 6: Final answer
    x = 11,590.96

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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.