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Finding the Fourth Proportional to 27,833.52, 38,410.56 and 15,258

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Solution

The fourth proportional to 27,833.52, 38,410.56 and 15,258 is: 21,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.52 : 38,410.56 = 15,258 : x
  2. Step 2: Convert to fraction form
    27,833.52/38,410.56 = 15,258/x
  3. Step 3: Cross multiply
    27,833.52x = 38,410.56 × 15,258
  4. Step 4: Simplify right side
    27,833.52x = 586,068,324.48
  5. Step 5: Solve for x
    x = 586,068,324.48/27,833.52
  6. Step 6: Final answer
    x = 21,056.21

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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.