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Finding the Fourth Proportional to 21,205.92, 31,800.78 and 10,104.12

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Solution

The fourth proportional to 21,205.92, 31,800.78 and 10,104.12 is: 15,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.92 : 31,800.78 = 10,104.12 : x
  2. Step 2: Convert to fraction form
    21,205.92/31,800.78 = 10,104.12/x
  3. Step 3: Cross multiply
    21,205.92x = 31,800.78 × 10,104.12
  4. Step 4: Simplify right side
    21,205.92x = 321,318,897.21
  5. Step 5: Solve for x
    x = 321,318,897.21/21,205.92
  6. Step 6: Final answer
    x = 15,152.32

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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.