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Finding the Fourth Proportional to 21,877.32, 32,819.20 and 7,081.32

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Solution

The fourth proportional to 21,877.32, 32,819.20 and 7,081.32 is: 10,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.32 : 32,819.20 = 7,081.32 : x
  2. Step 2: Convert to fraction form
    21,877.32/32,819.20 = 7,081.32/x
  3. Step 3: Cross multiply
    21,877.32x = 32,819.20 × 7,081.32
  4. Step 4: Simplify right side
    21,877.32x = 232,403,257.34
  5. Step 5: Solve for x
    x = 232,403,257.34/21,877.32
  6. Step 6: Final answer
    x = 10,623.02

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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.