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Finding the Fourth Proportional to 22,386.38, 33,579.56 and 6,804

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Solution

The fourth proportional to 22,386.38, 33,579.56 and 6,804 is: 10,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.38 : 33,579.56 = 6,804 : x
  2. Step 2: Convert to fraction form
    22,386.38/33,579.56 = 6,804/x
  3. Step 3: Cross multiply
    22,386.38x = 33,579.56 × 6,804
  4. Step 4: Simplify right side
    22,386.38x = 228,475,343.25
  5. Step 5: Solve for x
    x = 228,475,343.25/22,386.38
  6. Step 6: Final answer
    x = 10,206

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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.