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Finding the Fourth Proportional to 28,207.76, 42,312.42 and 8,216.46

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Solution

The fourth proportional to 28,207.76, 42,312.42 and 8,216.46 is: 12,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,207.76 : 42,312.42 = 8,216.46 : x
  2. Step 2: Convert to fraction form
    28,207.76/42,312.42 = 8,216.46/x
  3. Step 3: Cross multiply
    28,207.76x = 42,312.42 × 8,216.46
  4. Step 4: Simplify right side
    28,207.76x = 347,658,306.43
  5. Step 5: Solve for x
    x = 347,658,306.43/28,207.76
  6. Step 6: Final answer
    x = 12,324.92

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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.