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Finding the Fourth Proportional to 22,656.00, 33,984.35 and 7,865.39

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Solution

The fourth proportional to 22,656.00, 33,984.35 and 7,865.39 is: 11,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.00 : 33,984.35 = 7,865.39 : x
  2. Step 2: Convert to fraction form
    22,656.00/33,984.35 = 7,865.39/x
  3. Step 3: Cross multiply
    22,656.00x = 33,984.35 × 7,865.39
  4. Step 4: Simplify right side
    22,656.00x = 267,300,132.85
  5. Step 5: Solve for x
    x = 267,300,132.85/22,656.00
  6. Step 6: Final answer
    x = 11,798.20

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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.