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Finding the Fourth Proportional to 21,283.02, 31,920.89 and 5,697

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Solution

The fourth proportional to 21,283.02, 31,920.89 and 5,697 is: 8,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.02 : 31,920.89 = 5,697 : x
  2. Step 2: Convert to fraction form
    21,283.02/31,920.89 = 5,697/x
  3. Step 3: Cross multiply
    21,283.02x = 31,920.89 × 5,697
  4. Step 4: Simplify right side
    21,283.02x = 181,853,281.85
  5. Step 5: Solve for x
    x = 181,853,281.85/21,283.02
  6. Step 6: Final answer
    x = 8,544.52

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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.