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Finding the Fourth Proportional to 21,348.50, 32,019.75 and 13,426.88

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Solution

The fourth proportional to 21,348.50, 32,019.75 and 13,426.88 is: 20,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.50 : 32,019.75 = 13,426.88 : x
  2. Step 2: Convert to fraction form
    21,348.50/32,019.75 = 13,426.88/x
  3. Step 3: Cross multiply
    21,348.50x = 32,019.75 × 13,426.88
  4. Step 4: Simplify right side
    21,348.50x = 429,925,180.78
  5. Step 5: Solve for x
    x = 429,925,180.78/21,348.50
  6. Step 6: Final answer
    x = 20,138.43

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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.