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Finding the Fourth Proportional to 15,842.43, 23,754.03 and 7,935.75

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Solution

The fourth proportional to 15,842.43, 23,754.03 and 7,935.75 is: 11,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.43 : 23,754.03 = 7,935.75 : x
  2. Step 2: Convert to fraction form
    15,842.43/23,754.03 = 7,935.75/x
  3. Step 3: Cross multiply
    15,842.43x = 23,754.03 × 7,935.75
  4. Step 4: Simplify right side
    15,842.43x = 188,506,043.57
  5. Step 5: Solve for x
    x = 188,506,043.57/15,842.43
  6. Step 6: Final answer
    x = 11,898.81

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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.