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Finding the Fourth Proportional to 28,175.89, 42,270.86 and 8,454.81

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Solution

The fourth proportional to 28,175.89, 42,270.86 and 8,454.81 is: 12,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175.89 : 42,270.86 = 8,454.81 : x
  2. Step 2: Convert to fraction form
    28,175.89/42,270.86 = 8,454.81/x
  3. Step 3: Cross multiply
    28,175.89x = 42,270.86 × 8,454.81
  4. Step 4: Simplify right side
    28,175.89x = 357,392,089.84
  5. Step 5: Solve for x
    x = 357,392,089.84/28,175.89
  6. Step 6: Final answer
    x = 12,684.32

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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.