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Finding the Fourth Proportional to 21,902.80, 32,862.30 and 7,112.20

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Solution

The fourth proportional to 21,902.80, 32,862.30 and 7,112.20 is: 10,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.80 : 32,862.30 = 7,112.20 : x
  2. Step 2: Convert to fraction form
    21,902.80/32,862.30 = 7,112.20/x
  3. Step 3: Cross multiply
    21,902.80x = 32,862.30 × 7,112.20
  4. Step 4: Simplify right side
    21,902.80x = 233,723,250.06
  5. Step 5: Solve for x
    x = 233,723,250.06/21,902.80
  6. Step 6: Final answer
    x = 10,670.93

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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.