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Finding the Fourth Proportional to 17,668.80, 24,382.62 and 9,711

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Solution

The fourth proportional to 17,668.80, 24,382.62 and 9,711 is: 13,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.80 : 24,382.62 = 9,711 : x
  2. Step 2: Convert to fraction form
    17,668.80/24,382.62 = 9,711/x
  3. Step 3: Cross multiply
    17,668.80x = 24,382.62 × 9,711
  4. Step 4: Simplify right side
    17,668.80x = 236,779,622.82
  5. Step 5: Solve for x
    x = 236,779,622.82/17,668.80
  6. Step 6: Final answer
    x = 13,401.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.