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Finding the Fourth Proportional to 13,869.76, 20,800.52 and 4,009.12

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Solution

The fourth proportional to 13,869.76, 20,800.52 and 4,009.12 is: 6,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.76 : 20,800.52 = 4,009.12 : x
  2. Step 2: Convert to fraction form
    13,869.76/20,800.52 = 4,009.12/x
  3. Step 3: Cross multiply
    13,869.76x = 20,800.52 × 4,009.12
  4. Step 4: Simplify right side
    13,869.76x = 83,391,780.74
  5. Step 5: Solve for x
    x = 83,391,780.74/13,869.76
  6. Step 6: Final answer
    x = 6,012.49

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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.