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Finding the Fourth Proportional to 13,714.15, 20,564.75 and 6,316.42

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Solution

The fourth proportional to 13,714.15, 20,564.75 and 6,316.42 is: 9,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.15 : 20,564.75 = 6,316.42 : x
  2. Step 2: Convert to fraction form
    13,714.15/20,564.75 = 6,316.42/x
  3. Step 3: Cross multiply
    13,714.15x = 20,564.75 × 6,316.42
  4. Step 4: Simplify right side
    13,714.15x = 129,895,598.20
  5. Step 5: Solve for x
    x = 129,895,598.20/13,714.15
  6. Step 6: Final answer
    x = 9,471.65

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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.