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Finding the Fourth Proportional to 27,833.72, 38,410.24 and 15,258.40

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Solution

The fourth proportional to 27,833.72, 38,410.24 and 15,258.40 is: 21,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.72 : 38,410.24 = 15,258.40 : x
  2. Step 2: Convert to fraction form
    27,833.72/38,410.24 = 15,258.40/x
  3. Step 3: Cross multiply
    27,833.72x = 38,410.24 × 15,258.40
  4. Step 4: Simplify right side
    27,833.72x = 586,078,806.02
  5. Step 5: Solve for x
    x = 586,078,806.02/27,833.72
  6. Step 6: Final answer
    x = 21,056.43

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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.