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Finding the Fourth Proportional to 21,343.86, 32,007.24 and 8,855.40

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Solution

The fourth proportional to 21,343.86, 32,007.24 and 8,855.40 is: 13,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.86 : 32,007.24 = 8,855.40 : x
  2. Step 2: Convert to fraction form
    21,343.86/32,007.24 = 8,855.40/x
  3. Step 3: Cross multiply
    21,343.86x = 32,007.24 × 8,855.40
  4. Step 4: Simplify right side
    21,343.86x = 283,436,913.10
  5. Step 5: Solve for x
    x = 283,436,913.10/21,343.86
  6. Step 6: Final answer
    x = 13,279.55

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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.