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Finding the Fourth Proportional to 21,278.40, 31,915.04 and 5,697.28

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Solution

The fourth proportional to 21,278.40, 31,915.04 and 5,697.28 is: 8,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.40 : 31,915.04 = 5,697.28 : x
  2. Step 2: Convert to fraction form
    21,278.40/31,915.04 = 5,697.28/x
  3. Step 3: Cross multiply
    21,278.40x = 31,915.04 × 5,697.28
  4. Step 4: Simplify right side
    21,278.40x = 181,828,919.09
  5. Step 5: Solve for x
    x = 181,828,919.09/21,278.40
  6. Step 6: Final answer
    x = 8,545.23

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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.