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Finding the Fourth Proportional to 17,613.86, 24,307.44 and 9,547.78

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Solution

The fourth proportional to 17,613.86, 24,307.44 and 9,547.78 is: 13,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.86 : 24,307.44 = 9,547.78 : x
  2. Step 2: Convert to fraction form
    17,613.86/24,307.44 = 9,547.78/x
  3. Step 3: Cross multiply
    17,613.86x = 24,307.44 × 9,547.78
  4. Step 4: Simplify right side
    17,613.86x = 232,082,109.28
  5. Step 5: Solve for x
    x = 232,082,109.28/17,613.86
  6. Step 6: Final answer
    x = 13,176.11

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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.