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Finding the Fourth Proportional to 17,668.86, 24,382.92 and 9,710.90

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Solution

The fourth proportional to 17,668.86, 24,382.92 and 9,710.90 is: 13,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.86 : 24,382.92 = 9,710.90 : x
  2. Step 2: Convert to fraction form
    17,668.86/24,382.92 = 9,710.90/x
  3. Step 3: Cross multiply
    17,668.86x = 24,382.92 × 9,710.90
  4. Step 4: Simplify right side
    17,668.86x = 236,780,097.83
  5. Step 5: Solve for x
    x = 236,780,097.83/17,668.86
  6. Step 6: Final answer
    x = 13,400.98

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1.5x scale

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.