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Finding the Fourth Proportional to 15,842.54, 23,755.70 and 8,451.02

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Solution

The fourth proportional to 15,842.54, 23,755.70 and 8,451.02 is: 12,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.54 : 23,755.70 = 8,451.02 : x
  2. Step 2: Convert to fraction form
    15,842.54/23,755.70 = 8,451.02/x
  3. Step 3: Cross multiply
    15,842.54x = 23,755.70 × 8,451.02
  4. Step 4: Simplify right side
    15,842.54x = 200,759,895.81
  5. Step 5: Solve for x
    x = 200,759,895.81/15,842.54
  6. Step 6: Final answer
    x = 12,672.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.