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Finding the Fourth Proportional to 19,617.40, 29,427 and 6,470.92

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Solution

The fourth proportional to 19,617.40, 29,427 and 6,470.92 is: 9,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.40 : 29,427 = 6,470.92 : x
  2. Step 2: Convert to fraction form
    19,617.40/29,427 = 6,470.92/x
  3. Step 3: Cross multiply
    19,617.40x = 29,427 × 6,470.92
  4. Step 4: Simplify right side
    19,617.40x = 190,419,762.84
  5. Step 5: Solve for x
    x = 190,419,762.84/19,617.40
  6. Step 6: Final answer
    x = 9,706.68

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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.