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Finding the Fourth Proportional to 27,833.76, 38,410.24 and 15,258.24

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Solution

The fourth proportional to 27,833.76, 38,410.24 and 15,258.24 is: 21,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.76 : 38,410.24 = 15,258.24 : x
  2. Step 2: Convert to fraction form
    27,833.76/38,410.24 = 15,258.24/x
  3. Step 3: Cross multiply
    27,833.76x = 38,410.24 × 15,258.24
  4. Step 4: Simplify right side
    27,833.76x = 586,072,660.38
  5. Step 5: Solve for x
    x = 586,072,660.38/27,833.76
  6. Step 6: Final answer
    x = 21,056.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.