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Finding the Fourth Proportional to 22,160.40, 33,242.40 and 6,578

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Solution

The fourth proportional to 22,160.40, 33,242.40 and 6,578 is: 9,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160.40 : 33,242.40 = 6,578 : x
  2. Step 2: Convert to fraction form
    22,160.40/33,242.40 = 6,578/x
  3. Step 3: Cross multiply
    22,160.40x = 33,242.40 × 6,578
  4. Step 4: Simplify right side
    22,160.40x = 218,668,507.20
  5. Step 5: Solve for x
    x = 218,668,507.20/22,160.40
  6. Step 6: Final answer
    x = 9,867.53

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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.