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Finding the Fourth Proportional to 21,244.40, 31,869.66 and 7,205.66

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Solution

The fourth proportional to 21,244.40, 31,869.66 and 7,205.66 is: 10,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.40 : 31,869.66 = 7,205.66 : x
  2. Step 2: Convert to fraction form
    21,244.40/31,869.66 = 7,205.66/x
  3. Step 3: Cross multiply
    21,244.40x = 31,869.66 × 7,205.66
  4. Step 4: Simplify right side
    21,244.40x = 229,641,934.28
  5. Step 5: Solve for x
    x = 229,641,934.28/21,244.40
  6. Step 6: Final answer
    x = 10,809.53

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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.