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Finding the Fourth Proportional to 12,402.18, 17,114.49 and 7,366.86

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Solution

The fourth proportional to 12,402.18, 17,114.49 and 7,366.86 is: 10,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.18 : 17,114.49 = 7,366.86 : x
  2. Step 2: Convert to fraction form
    12,402.18/17,114.49 = 7,366.86/x
  3. Step 3: Cross multiply
    12,402.18x = 17,114.49 × 7,366.86
  4. Step 4: Simplify right side
    12,402.18x = 126,080,051.80
  5. Step 5: Solve for x
    x = 126,080,051.80/12,402.18
  6. Step 6: Final answer
    x = 10,165.96

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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.