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Finding the Fourth Proportional to 22,114.54, 33,165 and 7,320.40

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Solution

The fourth proportional to 22,114.54, 33,165 and 7,320.40 is: 10,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.54 : 33,165 = 7,320.40 : x
  2. Step 2: Convert to fraction form
    22,114.54/33,165 = 7,320.40/x
  3. Step 3: Cross multiply
    22,114.54x = 33,165 × 7,320.40
  4. Step 4: Simplify right side
    22,114.54x = 242,781,066
  5. Step 5: Solve for x
    x = 242,781,066/22,114.54
  6. Step 6: Final answer
    x = 10,978.35

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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.