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Finding the Fourth Proportional to 12,438.60, 18,657.90 and 7,189.80

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Solution

The fourth proportional to 12,438.60, 18,657.90 and 7,189.80 is: 10,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.60 : 18,657.90 = 7,189.80 : x
  2. Step 2: Convert to fraction form
    12,438.60/18,657.90 = 7,189.80/x
  3. Step 3: Cross multiply
    12,438.60x = 18,657.90 × 7,189.80
  4. Step 4: Simplify right side
    12,438.60x = 134,146,569.42
  5. Step 5: Solve for x
    x = 134,146,569.42/12,438.60
  6. Step 6: Final answer
    x = 10,784.70

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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.