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Finding the Fourth Proportional to 20,714.20, 28,575.80 and 14,002.16

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Solution

The fourth proportional to 20,714.20, 28,575.80 and 14,002.16 is: 19,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.20 : 28,575.80 = 14,002.16 : x
  2. Step 2: Convert to fraction form
    20,714.20/28,575.80 = 14,002.16/x
  3. Step 3: Cross multiply
    20,714.20x = 28,575.80 × 14,002.16
  4. Step 4: Simplify right side
    20,714.20x = 400,122,923.73
  5. Step 5: Solve for x
    x = 400,122,923.73/20,714.20
  6. Step 6: Final answer
    x = 19,316.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.