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Finding the Fourth Proportional to 22,733.60, 34,102.08 and 6,093.60

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Solution

The fourth proportional to 22,733.60, 34,102.08 and 6,093.60 is: 9,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.60 : 34,102.08 = 6,093.60 : x
  2. Step 2: Convert to fraction form
    22,733.60/34,102.08 = 6,093.60/x
  3. Step 3: Cross multiply
    22,733.60x = 34,102.08 × 6,093.60
  4. Step 4: Simplify right side
    22,733.60x = 207,804,434.69
  5. Step 5: Solve for x
    x = 207,804,434.69/22,733.60
  6. Step 6: Final answer
    x = 9,140.85

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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.