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Finding the Fourth Proportional to 13,117.09, 18,101.04 and 7,148.62

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Solution

The fourth proportional to 13,117.09, 18,101.04 and 7,148.62 is: 9,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.09 : 18,101.04 = 7,148.62 : x
  2. Step 2: Convert to fraction form
    13,117.09/18,101.04 = 7,148.62/x
  3. Step 3: Cross multiply
    13,117.09x = 18,101.04 × 7,148.62
  4. Step 4: Simplify right side
    13,117.09x = 129,397,452.38
  5. Step 5: Solve for x
    x = 129,397,452.38/13,117.09
  6. Step 6: Final answer
    x = 9,864.80

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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.