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Finding the Fourth Proportional to 17,764.07, 24,514.00 and 9,697.86

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Solution

The fourth proportional to 17,764.07, 24,514.00 and 9,697.86 is: 13,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.07 : 24,514.00 = 9,697.86 : x
  2. Step 2: Convert to fraction form
    17,764.07/24,514.00 = 9,697.86/x
  3. Step 3: Cross multiply
    17,764.07x = 24,514.00 × 9,697.86
  4. Step 4: Simplify right side
    17,764.07x = 237,733,315.80
  5. Step 5: Solve for x
    x = 237,733,315.80/17,764.07
  6. Step 6: Final answer
    x = 13,382.82

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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.