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Finding the Fourth Proportional to 17,929.62, 24,742.90 and 9,971.68

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Solution

The fourth proportional to 17,929.62, 24,742.90 and 9,971.68 is: 13,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.62 : 24,742.90 = 9,971.68 : x
  2. Step 2: Convert to fraction form
    17,929.62/24,742.90 = 9,971.68/x
  3. Step 3: Cross multiply
    17,929.62x = 24,742.90 × 9,971.68
  4. Step 4: Simplify right side
    17,929.62x = 246,728,281.07
  5. Step 5: Solve for x
    x = 246,728,281.07/17,929.62
  6. Step 6: Final answer
    x = 13,760.93

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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.