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Finding the Fourth Proportional to 20,802.65, 31,211.76 and 10,801.15

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Solution

The fourth proportional to 20,802.65, 31,211.76 and 10,801.15 is: 16,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.65 : 31,211.76 = 10,801.15 : x
  2. Step 2: Convert to fraction form
    20,802.65/31,211.76 = 10,801.15/x
  3. Step 3: Cross multiply
    20,802.65x = 31,211.76 × 10,801.15
  4. Step 4: Simplify right side
    20,802.65x = 337,122,909.76
  5. Step 5: Solve for x
    x = 337,122,909.76/20,802.65
  6. Step 6: Final answer
    x = 16,205.77

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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.