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Finding the Fourth Proportional to 28,002.57, 42,012.06 and 8,281.65

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Solution

The fourth proportional to 28,002.57, 42,012.06 and 8,281.65 is: 12,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002.57 : 42,012.06 = 8,281.65 : x
  2. Step 2: Convert to fraction form
    28,002.57/42,012.06 = 8,281.65/x
  3. Step 3: Cross multiply
    28,002.57x = 42,012.06 × 8,281.65
  4. Step 4: Simplify right side
    28,002.57x = 347,929,176.70
  5. Step 5: Solve for x
    x = 347,929,176.70/28,002.57
  6. Step 6: Final answer
    x = 12,424.90

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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.