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Finding the Fourth Proportional to 28,382.94, 42,574.26 and 8,661.42

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Solution

The fourth proportional to 28,382.94, 42,574.26 and 8,661.42 is: 12,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.94 : 42,574.26 = 8,661.42 : x
  2. Step 2: Convert to fraction form
    28,382.94/42,574.26 = 8,661.42/x
  3. Step 3: Cross multiply
    28,382.94x = 42,574.26 × 8,661.42
  4. Step 4: Simplify right side
    28,382.94x = 368,753,547.05
  5. Step 5: Solve for x
    x = 368,753,547.05/28,382.94
  6. Step 6: Final answer
    x = 12,992.08

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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.