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Finding the Fourth Proportional to 22,656.13, 33,984.53 and 7,865.52

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Solution

The fourth proportional to 22,656.13, 33,984.53 and 7,865.52 is: 11,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.13 : 33,984.53 = 7,865.52 : x
  2. Step 2: Convert to fraction form
    22,656.13/33,984.53 = 7,865.52/x
  3. Step 3: Cross multiply
    22,656.13x = 33,984.53 × 7,865.52
  4. Step 4: Simplify right side
    22,656.13x = 267,305,859.98
  5. Step 5: Solve for x
    x = 267,305,859.98/22,656.13
  6. Step 6: Final answer
    x = 11,798.39

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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.