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Finding the Fourth Proportional to 23,842.62, 35,763.51 and 9,809.10

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Solution

The fourth proportional to 23,842.62, 35,763.51 and 9,809.10 is: 14,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.62 : 35,763.51 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    23,842.62/35,763.51 = 9,809.10/x
  3. Step 3: Cross multiply
    23,842.62x = 35,763.51 × 9,809.10
  4. Step 4: Simplify right side
    23,842.62x = 350,807,845.94
  5. Step 5: Solve for x
    x = 350,807,845.94/23,842.62
  6. Step 6: Final answer
    x = 14,713.48

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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.