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Finding the Fourth Proportional to 13,114.12, 18,097.61 and 7,145.88

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Solution

The fourth proportional to 13,114.12, 18,097.61 and 7,145.88 is: 9,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.12 : 18,097.61 = 7,145.88 : x
  2. Step 2: Convert to fraction form
    13,114.12/18,097.61 = 7,145.88/x
  3. Step 3: Cross multiply
    13,114.12x = 18,097.61 × 7,145.88
  4. Step 4: Simplify right side
    13,114.12x = 129,323,349.35
  5. Step 5: Solve for x
    x = 129,323,349.35/13,114.12
  6. Step 6: Final answer
    x = 9,861.38

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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.