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Finding the Fourth Proportional to 17,833.92, 24,610.62 and 9,875.94

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Solution

The fourth proportional to 17,833.92, 24,610.62 and 9,875.94 is: 13,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.92 : 24,610.62 = 9,875.94 : x
  2. Step 2: Convert to fraction form
    17,833.92/24,610.62 = 9,875.94/x
  3. Step 3: Cross multiply
    17,833.92x = 24,610.62 × 9,875.94
  4. Step 4: Simplify right side
    17,833.92x = 243,053,006.48
  5. Step 5: Solve for x
    x = 243,053,006.48/17,833.92
  6. Step 6: Final answer
    x = 13,628.69

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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.