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Finding the Fourth Proportional to 21,306.67, 31,961.49 and 6,514.45

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Solution

The fourth proportional to 21,306.67, 31,961.49 and 6,514.45 is: 9,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.67 : 31,961.49 = 6,514.45 : x
  2. Step 2: Convert to fraction form
    21,306.67/31,961.49 = 6,514.45/x
  3. Step 3: Cross multiply
    21,306.67x = 31,961.49 × 6,514.45
  4. Step 4: Simplify right side
    21,306.67x = 208,211,528.53
  5. Step 5: Solve for x
    x = 208,211,528.53/21,306.67
  6. Step 6: Final answer
    x = 9,772.13

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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.