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Finding the Fourth Proportional to 28,102.21, 42,155.13 and 8,382.76

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Solution

The fourth proportional to 28,102.21, 42,155.13 and 8,382.76 is: 12,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.21 : 42,155.13 = 8,382.76 : x
  2. Step 2: Convert to fraction form
    28,102.21/42,155.13 = 8,382.76/x
  3. Step 3: Cross multiply
    28,102.21x = 42,155.13 × 8,382.76
  4. Step 4: Simplify right side
    28,102.21x = 353,376,126.78
  5. Step 5: Solve for x
    x = 353,376,126.78/28,102.21
  6. Step 6: Final answer
    x = 12,574.68

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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.