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Finding the Fourth Proportional to 28,176.46, 42,268.80 and 8,456.57

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Solution

The fourth proportional to 28,176.46, 42,268.80 and 8,456.57 is: 12,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.46 : 42,268.80 = 8,456.57 : x
  2. Step 2: Convert to fraction form
    28,176.46/42,268.80 = 8,456.57/x
  3. Step 3: Cross multiply
    28,176.46x = 42,268.80 × 8,456.57
  4. Step 4: Simplify right side
    28,176.46x = 357,449,066.02
  5. Step 5: Solve for x
    x = 357,449,066.02/28,176.46
  6. Step 6: Final answer
    x = 12,686.09

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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.