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Finding the Fourth Proportional to 23,807.71, 35,711.21 and 5,796

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Solution

The fourth proportional to 23,807.71, 35,711.21 and 5,796 is: 8,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.71 : 35,711.21 = 5,796 : x
  2. Step 2: Convert to fraction form
    23,807.71/35,711.21 = 5,796/x
  3. Step 3: Cross multiply
    23,807.71x = 35,711.21 × 5,796
  4. Step 4: Simplify right side
    23,807.71x = 206,982,173.16
  5. Step 5: Solve for x
    x = 206,982,173.16/23,807.71
  6. Step 6: Final answer
    x = 8,693.91

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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.