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Finding the Fourth Proportional to 17,779, 24,514.98 and 11,397.16

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Solution

The fourth proportional to 17,779, 24,514.98 and 11,397.16 is: 15,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779 : 24,514.98 = 11,397.16 : x
  2. Step 2: Convert to fraction form
    17,779/24,514.98 = 11,397.16/x
  3. Step 3: Cross multiply
    17,779x = 24,514.98 × 11,397.16
  4. Step 4: Simplify right side
    17,779x = 279,401,149.46
  5. Step 5: Solve for x
    x = 279,401,149.46/17,779
  6. Step 6: Final answer
    x = 15,715.23

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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.