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Finding the Fourth Proportional to 21,781.76, 32,665.50 and 6,987.15

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Solution

The fourth proportional to 21,781.76, 32,665.50 and 6,987.15 is: 10,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.76 : 32,665.50 = 6,987.15 : x
  2. Step 2: Convert to fraction form
    21,781.76/32,665.50 = 6,987.15/x
  3. Step 3: Cross multiply
    21,781.76x = 32,665.50 × 6,987.15
  4. Step 4: Simplify right side
    21,781.76x = 228,238,748.33
  5. Step 5: Solve for x
    x = 228,238,748.33/21,781.76
  6. Step 6: Final answer
    x = 10,478.44

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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.