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Finding the Fourth Proportional to 17,929.48, 24,741.54 and 9,971.24

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Solution

The fourth proportional to 17,929.48, 24,741.54 and 9,971.24 is: 13,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.48 : 24,741.54 = 9,971.24 : x
  2. Step 2: Convert to fraction form
    17,929.48/24,741.54 = 9,971.24/x
  3. Step 3: Cross multiply
    17,929.48x = 24,741.54 × 9,971.24
  4. Step 4: Simplify right side
    17,929.48x = 246,703,833.31
  5. Step 5: Solve for x
    x = 246,703,833.31/17,929.48
  6. Step 6: Final answer
    x = 13,759.68

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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.