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Finding the Fourth Proportional to 23,470.47, 35,202.06 and 6,827.09

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Solution

The fourth proportional to 23,470.47, 35,202.06 and 6,827.09 is: 10,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.47 : 35,202.06 = 6,827.09 : x
  2. Step 2: Convert to fraction form
    23,470.47/35,202.06 = 6,827.09/x
  3. Step 3: Cross multiply
    23,470.47x = 35,202.06 × 6,827.09
  4. Step 4: Simplify right side
    23,470.47x = 240,327,455.80
  5. Step 5: Solve for x
    x = 240,327,455.80/23,470.47
  6. Step 6: Final answer
    x = 10,239.57

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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.