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Finding the Fourth Proportional to 22,312.86, 33,474.82 and 6,730.46

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Solution

The fourth proportional to 22,312.86, 33,474.82 and 6,730.46 is: 10,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.86 : 33,474.82 = 6,730.46 : x
  2. Step 2: Convert to fraction form
    22,312.86/33,474.82 = 6,730.46/x
  3. Step 3: Cross multiply
    22,312.86x = 33,474.82 × 6,730.46
  4. Step 4: Simplify right side
    22,312.86x = 225,300,937.02
  5. Step 5: Solve for x
    x = 225,300,937.02/22,312.86
  6. Step 6: Final answer
    x = 10,097.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.