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Finding the Fourth Proportional to 23,354.33, 32,229.68 and 13,284.20

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Solution

The fourth proportional to 23,354.33, 32,229.68 and 13,284.20 is: 18,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.33 : 32,229.68 = 13,284.20 : x
  2. Step 2: Convert to fraction form
    23,354.33/32,229.68 = 13,284.20/x
  3. Step 3: Cross multiply
    23,354.33x = 32,229.68 × 13,284.20
  4. Step 4: Simplify right side
    23,354.33x = 428,145,529.21
  5. Step 5: Solve for x
    x = 428,145,529.21/23,354.33
  6. Step 6: Final answer
    x = 18,332.60

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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.