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Finding the Fourth Proportional to 28,246.38, 42,356.25 and 10,464.78

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Solution

The fourth proportional to 28,246.38, 42,356.25 and 10,464.78 is: 15,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,246.38 : 42,356.25 = 10,464.78 : x
  2. Step 2: Convert to fraction form
    28,246.38/42,356.25 = 10,464.78/x
  3. Step 3: Cross multiply
    28,246.38x = 42,356.25 × 10,464.78
  4. Step 4: Simplify right side
    28,246.38x = 443,248,837.88
  5. Step 5: Solve for x
    x = 443,248,837.88/28,246.38
  6. Step 6: Final answer
    x = 15,692.24

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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.