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Finding the Fourth Proportional to 12,631.14, 18,952.18 and 6,780.92

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Solution

The fourth proportional to 12,631.14, 18,952.18 and 6,780.92 is: 10,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.14 : 18,952.18 = 6,780.92 : x
  2. Step 2: Convert to fraction form
    12,631.14/18,952.18 = 6,780.92/x
  3. Step 3: Cross multiply
    12,631.14x = 18,952.18 × 6,780.92
  4. Step 4: Simplify right side
    12,631.14x = 128,513,216.41
  5. Step 5: Solve for x
    x = 128,513,216.41/12,631.14
  6. Step 6: Final answer
    x = 10,174.32

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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.