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Finding the Fourth Proportional to 28,378.86, 42,574.96 and 8,657.42

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Solution

The fourth proportional to 28,378.86, 42,574.96 and 8,657.42 is: 12,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378.86 : 42,574.96 = 8,657.42 : x
  2. Step 2: Convert to fraction form
    28,378.86/42,574.96 = 8,657.42/x
  3. Step 3: Cross multiply
    28,378.86x = 42,574.96 × 8,657.42
  4. Step 4: Simplify right side
    28,378.86x = 368,589,310.20
  5. Step 5: Solve for x
    x = 368,589,310.20/28,378.86
  6. Step 6: Final answer
    x = 12,988.16

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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.