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Finding the Fourth Proportional to 21,168.96, 31,711.12 and 10,086.40

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Solution

The fourth proportional to 21,168.96, 31,711.12 and 10,086.40 is: 15,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168.96 : 31,711.12 = 10,086.40 : x
  2. Step 2: Convert to fraction form
    21,168.96/31,711.12 = 10,086.40/x
  3. Step 3: Cross multiply
    21,168.96x = 31,711.12 × 10,086.40
  4. Step 4: Simplify right side
    21,168.96x = 319,851,040.77
  5. Step 5: Solve for x
    x = 319,851,040.77/21,168.96
  6. Step 6: Final answer
    x = 15,109.44

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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.