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Finding the Fourth Proportional to 13,714.30, 20,572.03 and 4,354.11

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Solution

The fourth proportional to 13,714.30, 20,572.03 and 4,354.11 is: 6,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.30 : 20,572.03 = 4,354.11 : x
  2. Step 2: Convert to fraction form
    13,714.30/20,572.03 = 4,354.11/x
  3. Step 3: Cross multiply
    13,714.30x = 20,572.03 × 4,354.11
  4. Step 4: Simplify right side
    13,714.30x = 89,572,964.13
  5. Step 5: Solve for x
    x = 89,572,964.13/13,714.30
  6. Step 6: Final answer
    x = 6,531.36

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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.