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Finding the Fourth Proportional to 20,569.76, 30,854.34 and 4,987.28

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Solution

The fourth proportional to 20,569.76, 30,854.34 and 4,987.28 is: 7,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.76 : 30,854.34 = 4,987.28 : x
  2. Step 2: Convert to fraction form
    20,569.76/30,854.34 = 4,987.28/x
  3. Step 3: Cross multiply
    20,569.76x = 30,854.34 × 4,987.28
  4. Step 4: Simplify right side
    20,569.76x = 153,879,232.80
  5. Step 5: Solve for x
    x = 153,879,232.80/20,569.76
  6. Step 6: Final answer
    x = 7,480.85

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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.