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Finding the Fourth Proportional to 17,129.12, 23,648.64 and 11,472.08

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Solution

The fourth proportional to 17,129.12, 23,648.64 and 11,472.08 is: 15,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.12 : 23,648.64 = 11,472.08 : x
  2. Step 2: Convert to fraction form
    17,129.12/23,648.64 = 11,472.08/x
  3. Step 3: Cross multiply
    17,129.12x = 23,648.64 × 11,472.08
  4. Step 4: Simplify right side
    17,129.12x = 271,299,089.97
  5. Step 5: Solve for x
    x = 271,299,089.97/17,129.12
  6. Step 6: Final answer
    x = 15,838.47

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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.