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Finding the Fourth Proportional to 27,852.64, 38,414.92 and 17,248.16

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Solution

The fourth proportional to 27,852.64, 38,414.92 and 17,248.16 is: 23,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.64 : 38,414.92 = 17,248.16 : x
  2. Step 2: Convert to fraction form
    27,852.64/38,414.92 = 17,248.16/x
  3. Step 3: Cross multiply
    27,852.64x = 38,414.92 × 17,248.16
  4. Step 4: Simplify right side
    27,852.64x = 662,586,686.55
  5. Step 5: Solve for x
    x = 662,586,686.55/27,852.64
  6. Step 6: Final answer
    x = 23,789.01

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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.