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Finding the Fourth Proportional to 28,282.64, 42,424.50 and 8,561.12

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Solution

The fourth proportional to 28,282.64, 42,424.50 and 8,561.12 is: 12,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.64 : 42,424.50 = 8,561.12 : x
  2. Step 2: Convert to fraction form
    28,282.64/42,424.50 = 8,561.12/x
  3. Step 3: Cross multiply
    28,282.64x = 42,424.50 × 8,561.12
  4. Step 4: Simplify right side
    28,282.64x = 363,201,235.44
  5. Step 5: Solve for x
    x = 363,201,235.44/28,282.64
  6. Step 6: Final answer
    x = 12,841.84

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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.