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Finding the Fourth Proportional to 12,842.52, 19,274.76 and 9,153.78

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Solution

The fourth proportional to 12,842.52, 19,274.76 and 9,153.78 is: 13,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.52 : 19,274.76 = 9,153.78 : x
  2. Step 2: Convert to fraction form
    12,842.52/19,274.76 = 9,153.78/x
  3. Step 3: Cross multiply
    12,842.52x = 19,274.76 × 9,153.78
  4. Step 4: Simplify right side
    12,842.52x = 176,436,912.59
  5. Step 5: Solve for x
    x = 176,436,912.59/12,842.52
  6. Step 6: Final answer
    x = 13,738.50

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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.