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Finding the Fourth Proportional to 23,833.80, 32,888.48 and 13,223.40

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Solution

The fourth proportional to 23,833.80, 32,888.48 and 13,223.40 is: 18,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.80 : 32,888.48 = 13,223.40 : x
  2. Step 2: Convert to fraction form
    23,833.80/32,888.48 = 13,223.40/x
  3. Step 3: Cross multiply
    23,833.80x = 32,888.48 × 13,223.40
  4. Step 4: Simplify right side
    23,833.80x = 434,897,526.43
  5. Step 5: Solve for x
    x = 434,897,526.43/23,833.80
  6. Step 6: Final answer
    x = 18,247.09

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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.