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Finding the Fourth Proportional to 17,613.93, 24,307.14 and 9,547.80

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Solution

The fourth proportional to 17,613.93, 24,307.14 and 9,547.80 is: 13,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.93 : 24,307.14 = 9,547.80 : x
  2. Step 2: Convert to fraction form
    17,613.93/24,307.14 = 9,547.80/x
  3. Step 3: Cross multiply
    17,613.93x = 24,307.14 × 9,547.80
  4. Step 4: Simplify right side
    17,613.93x = 232,079,711.29
  5. Step 5: Solve for x
    x = 232,079,711.29/17,613.93
  6. Step 6: Final answer
    x = 13,175.92

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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.