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Finding the Fourth Proportional to 12,158.68, 16,778.90 and 7,123.88

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Solution

The fourth proportional to 12,158.68, 16,778.90 and 7,123.88 is: 9,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.68 : 16,778.90 = 7,123.88 : x
  2. Step 2: Convert to fraction form
    12,158.68/16,778.90 = 7,123.88/x
  3. Step 3: Cross multiply
    12,158.68x = 16,778.90 × 7,123.88
  4. Step 4: Simplify right side
    12,158.68x = 119,530,870.13
  5. Step 5: Solve for x
    x = 119,530,870.13/12,158.68
  6. Step 6: Final answer
    x = 9,830.91

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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.