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Finding the Fourth Proportional to 21,295.68, 31,920.93 and 10,178.88

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Solution

The fourth proportional to 21,295.68, 31,920.93 and 10,178.88 is: 15,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.68 : 31,920.93 = 10,178.88 : x
  2. Step 2: Convert to fraction form
    21,295.68/31,920.93 = 10,178.88/x
  3. Step 3: Cross multiply
    21,295.68x = 31,920.93 × 10,178.88
  4. Step 4: Simplify right side
    21,295.68x = 324,919,315.96
  5. Step 5: Solve for x
    x = 324,919,315.96/21,295.68
  6. Step 6: Final answer
    x = 15,257.52

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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.