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Finding the Fourth Proportional to 13,066.96, 18,033.72 and 7,691.50

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Solution

The fourth proportional to 13,066.96, 18,033.72 and 7,691.50 is: 10,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.96 : 18,033.72 = 7,691.50 : x
  2. Step 2: Convert to fraction form
    13,066.96/18,033.72 = 7,691.50/x
  3. Step 3: Cross multiply
    13,066.96x = 18,033.72 × 7,691.50
  4. Step 4: Simplify right side
    13,066.96x = 138,706,357.38
  5. Step 5: Solve for x
    x = 138,706,357.38/13,066.96
  6. Step 6: Final answer
    x = 10,615.04

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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.