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Finding the Fourth Proportional to 13,714.29, 20,574.54 and 4,354.88

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Solution

The fourth proportional to 13,714.29, 20,574.54 and 4,354.88 is: 6,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.29 : 20,574.54 = 4,354.88 : x
  2. Step 2: Convert to fraction form
    13,714.29/20,574.54 = 4,354.88/x
  3. Step 3: Cross multiply
    13,714.29x = 20,574.54 × 4,354.88
  4. Step 4: Simplify right side
    13,714.29x = 89,599,549.88
  5. Step 5: Solve for x
    x = 89,599,549.88/13,714.29
  6. Step 6: Final answer
    x = 6,533.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.