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Finding the Fourth Proportional to 23,833.80, 32,891.04 and 13,223.16

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Solution

The fourth proportional to 23,833.80, 32,891.04 and 13,223.16 is: 18,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.80 : 32,891.04 = 13,223.16 : x
  2. Step 2: Convert to fraction form
    23,833.80/32,891.04 = 13,223.16/x
  3. Step 3: Cross multiply
    23,833.80x = 32,891.04 × 13,223.16
  4. Step 4: Simplify right side
    23,833.80x = 434,923,484.49
  5. Step 5: Solve for x
    x = 434,923,484.49/23,833.80
  6. Step 6: Final answer
    x = 18,248.18

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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.