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Finding the Fourth Proportional to 28,185.62, 42,278.34 and 8,464.16

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Solution

The fourth proportional to 28,185.62, 42,278.34 and 8,464.16 is: 12,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,185.62 : 42,278.34 = 8,464.16 : x
  2. Step 2: Convert to fraction form
    28,185.62/42,278.34 = 8,464.16/x
  3. Step 3: Cross multiply
    28,185.62x = 42,278.34 × 8,464.16
  4. Step 4: Simplify right side
    28,185.62x = 357,850,634.29
  5. Step 5: Solve for x
    x = 357,850,634.29/28,185.62
  6. Step 6: Final answer
    x = 12,696.21

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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.