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Finding the Fourth Proportional to 21,922.18, 32,888.15 and 10,229.02

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Solution

The fourth proportional to 21,922.18, 32,888.15 and 10,229.02 is: 15,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.18 : 32,888.15 = 10,229.02 : x
  2. Step 2: Convert to fraction form
    21,922.18/32,888.15 = 10,229.02/x
  3. Step 3: Cross multiply
    21,922.18x = 32,888.15 × 10,229.02
  4. Step 4: Simplify right side
    21,922.18x = 336,413,575.19
  5. Step 5: Solve for x
    x = 336,413,575.19/21,922.18
  6. Step 6: Final answer
    x = 15,345.81

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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.