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Finding the Fourth Proportional to 13,114.38, 18,097.20 and 7,146.04

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Solution

The fourth proportional to 13,114.38, 18,097.20 and 7,146.04 is: 9,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.38 : 18,097.20 = 7,146.04 : x
  2. Step 2: Convert to fraction form
    13,114.38/18,097.20 = 7,146.04/x
  3. Step 3: Cross multiply
    13,114.38x = 18,097.20 × 7,146.04
  4. Step 4: Simplify right side
    13,114.38x = 129,323,315.09
  5. Step 5: Solve for x
    x = 129,323,315.09/13,114.38
  6. Step 6: Final answer
    x = 9,861.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.