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Finding the Fourth Proportional to 17,613.75, 24,307.71 and 9,656.28

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Solution

The fourth proportional to 17,613.75, 24,307.71 and 9,656.28 is: 13,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.75 : 24,307.71 = 9,656.28 : x
  2. Step 2: Convert to fraction form
    17,613.75/24,307.71 = 9,656.28/x
  3. Step 3: Cross multiply
    17,613.75x = 24,307.71 × 9,656.28
  4. Step 4: Simplify right side
    17,613.75x = 234,722,053.92
  5. Step 5: Solve for x
    x = 234,722,053.92/17,613.75
  6. Step 6: Final answer
    x = 13,326.07

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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.