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Finding the Fourth Proportional to 20,854.80, 31,256.28 and 12,499.92

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Solution

The fourth proportional to 20,854.80, 31,256.28 and 12,499.92 is: 18,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.80 : 31,256.28 = 12,499.92 : x
  2. Step 2: Convert to fraction form
    20,854.80/31,256.28 = 12,499.92/x
  3. Step 3: Cross multiply
    20,854.80x = 31,256.28 × 12,499.92
  4. Step 4: Simplify right side
    20,854.80x = 390,700,999.50
  5. Step 5: Solve for x
    x = 390,700,999.50/20,854.80
  6. Step 6: Final answer
    x = 18,734.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.