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Finding the Fourth Proportional to 12,178.40, 18,264.72 and 11,909.12

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Solution

The fourth proportional to 12,178.40, 18,264.72 and 11,909.12 is: 17,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.40 : 18,264.72 = 11,909.12 : x
  2. Step 2: Convert to fraction form
    12,178.40/18,264.72 = 11,909.12/x
  3. Step 3: Cross multiply
    12,178.40x = 18,264.72 × 11,909.12
  4. Step 4: Simplify right side
    12,178.40x = 217,516,742.25
  5. Step 5: Solve for x
    x = 217,516,742.25/12,178.40
  6. Step 6: Final answer
    x = 17,860.86

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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.