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Finding the Fourth Proportional to 15,046.52, 20,750.62 and 9,735.80

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Solution

The fourth proportional to 15,046.52, 20,750.62 and 9,735.80 is: 13,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.52 : 20,750.62 = 9,735.80 : x
  2. Step 2: Convert to fraction form
    15,046.52/20,750.62 = 9,735.80/x
  3. Step 3: Cross multiply
    15,046.52x = 20,750.62 × 9,735.80
  4. Step 4: Simplify right side
    15,046.52x = 202,023,886.20
  5. Step 5: Solve for x
    x = 202,023,886.20/15,046.52
  6. Step 6: Final answer
    x = 13,426.62

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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.