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Finding the Fourth Proportional to 24,802.31, 37,208.86 and 8,164.04

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Solution

The fourth proportional to 24,802.31, 37,208.86 and 8,164.04 is: 12,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.31 : 37,208.86 = 8,164.04 : x
  2. Step 2: Convert to fraction form
    24,802.31/37,208.86 = 8,164.04/x
  3. Step 3: Cross multiply
    24,802.31x = 37,208.86 × 8,164.04
  4. Step 4: Simplify right side
    24,802.31x = 303,774,414.94
  5. Step 5: Solve for x
    x = 303,774,414.94/24,802.31
  6. Step 6: Final answer
    x = 12,247.83

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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.