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Finding the Fourth Proportional to 12,398.68, 18,592.92 and 6,156.40

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Solution

The fourth proportional to 12,398.68, 18,592.92 and 6,156.40 is: 9,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.68 : 18,592.92 = 6,156.40 : x
  2. Step 2: Convert to fraction form
    12,398.68/18,592.92 = 6,156.40/x
  3. Step 3: Cross multiply
    12,398.68x = 18,592.92 × 6,156.40
  4. Step 4: Simplify right side
    12,398.68x = 114,465,452.69
  5. Step 5: Solve for x
    x = 114,465,452.69/12,398.68
  6. Step 6: Final answer
    x = 9,232.07

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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.