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Finding the Fourth Proportional to 20,354.32, 30,531.63 and 6,314.09

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Solution

The fourth proportional to 20,354.32, 30,531.63 and 6,314.09 is: 9,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.32 : 30,531.63 = 6,314.09 : x
  2. Step 2: Convert to fraction form
    20,354.32/30,531.63 = 6,314.09/x
  3. Step 3: Cross multiply
    20,354.32x = 30,531.63 × 6,314.09
  4. Step 4: Simplify right side
    20,354.32x = 192,779,330.69
  5. Step 5: Solve for x
    x = 192,779,330.69/20,354.32
  6. Step 6: Final answer
    x = 9,471.17

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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.