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Finding the Fourth Proportional to 28,198.68, 42,298.06 and 8,477.24

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Solution

The fourth proportional to 28,198.68, 42,298.06 and 8,477.24 is: 12,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.68 : 42,298.06 = 8,477.24 : x
  2. Step 2: Convert to fraction form
    28,198.68/42,298.06 = 8,477.24/x
  3. Step 3: Cross multiply
    28,198.68x = 42,298.06 × 8,477.24
  4. Step 4: Simplify right side
    28,198.68x = 358,570,806.15
  5. Step 5: Solve for x
    x = 358,570,806.15/28,198.68
  6. Step 6: Final answer
    x = 12,715.87

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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.