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Finding the Fourth Proportional to 12,613.69, 17,402.96 and 7,161.85

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Solution

The fourth proportional to 12,613.69, 17,402.96 and 7,161.85 is: 9,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.69 : 17,402.96 = 7,161.85 : x
  2. Step 2: Convert to fraction form
    12,613.69/17,402.96 = 7,161.85/x
  3. Step 3: Cross multiply
    12,613.69x = 17,402.96 × 7,161.85
  4. Step 4: Simplify right side
    12,613.69x = 124,637,266.25
  5. Step 5: Solve for x
    x = 124,637,266.25/12,613.69
  6. Step 6: Final answer
    x = 9,881.11

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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.