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Finding the Fourth Proportional to 17,758.68, 24,508.41 and 10,206.24

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Solution

The fourth proportional to 17,758.68, 24,508.41 and 10,206.24 is: 14,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.68 : 24,508.41 = 10,206.24 : x
  2. Step 2: Convert to fraction form
    17,758.68/24,508.41 = 10,206.24/x
  3. Step 3: Cross multiply
    17,758.68x = 24,508.41 × 10,206.24
  4. Step 4: Simplify right side
    17,758.68x = 250,138,714.48
  5. Step 5: Solve for x
    x = 250,138,714.48/17,758.68
  6. Step 6: Final answer
    x = 14,085.43

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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.