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Finding the Fourth Proportional to 28,833.52, 39,793.80 and 16,258

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Solution

The fourth proportional to 28,833.52, 39,793.80 and 16,258 is: 22,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,833.52 : 39,793.80 = 16,258 : x
  2. Step 2: Convert to fraction form
    28,833.52/39,793.80 = 16,258/x
  3. Step 3: Cross multiply
    28,833.52x = 39,793.80 × 16,258
  4. Step 4: Simplify right side
    28,833.52x = 646,967,600.40
  5. Step 5: Solve for x
    x = 646,967,600.40/28,833.52
  6. Step 6: Final answer
    x = 22,438.04

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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.