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Finding the Fourth Proportional to 13,714.40, 20,552.40 and 10,176.80

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Solution

The fourth proportional to 13,714.40, 20,552.40 and 10,176.80 is: 15,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.40 : 20,552.40 = 10,176.80 : x
  2. Step 2: Convert to fraction form
    13,714.40/20,552.40 = 10,176.80/x
  3. Step 3: Cross multiply
    13,714.40x = 20,552.40 × 10,176.80
  4. Step 4: Simplify right side
    13,714.40x = 209,157,664.32
  5. Step 5: Solve for x
    x = 209,157,664.32/13,714.40
  6. Step 6: Final answer
    x = 15,250.95

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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.