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Finding the Fourth Proportional to 20,978.04, 28,949.16 and 12,483.84

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Solution

The fourth proportional to 20,978.04, 28,949.16 and 12,483.84 is: 17,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.04 : 28,949.16 = 12,483.84 : x
  2. Step 2: Convert to fraction form
    20,978.04/28,949.16 = 12,483.84/x
  3. Step 3: Cross multiply
    20,978.04x = 28,949.16 × 12,483.84
  4. Step 4: Simplify right side
    20,978.04x = 361,396,681.57
  5. Step 5: Solve for x
    x = 361,396,681.57/20,978.04
  6. Step 6: Final answer
    x = 17,227.38

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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.