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Finding the Fourth Proportional to 17,682.32, 24,397.80 and 10,226

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Solution

The fourth proportional to 17,682.32, 24,397.80 and 10,226 is: 14,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.32 : 24,397.80 = 10,226 : x
  2. Step 2: Convert to fraction form
    17,682.32/24,397.80 = 10,226/x
  3. Step 3: Cross multiply
    17,682.32x = 24,397.80 × 10,226
  4. Step 4: Simplify right side
    17,682.32x = 249,491,902.80
  5. Step 5: Solve for x
    x = 249,491,902.80/17,682.32
  6. Step 6: Final answer
    x = 14,109.68

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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.