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Finding the Fourth Proportional to 21,902.74, 32,854.38 and 6,320.50

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Solution

The fourth proportional to 21,902.74, 32,854.38 and 6,320.50 is: 9,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.74 : 32,854.38 = 6,320.50 : x
  2. Step 2: Convert to fraction form
    21,902.74/32,854.38 = 6,320.50/x
  3. Step 3: Cross multiply
    21,902.74x = 32,854.38 × 6,320.50
  4. Step 4: Simplify right side
    21,902.74x = 207,656,108.79
  5. Step 5: Solve for x
    x = 207,656,108.79/21,902.74
  6. Step 6: Final answer
    x = 9,480.83

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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.