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Finding the Fourth Proportional to 23,156.64, 34,721.82 and 7,358.64

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Solution

The fourth proportional to 23,156.64, 34,721.82 and 7,358.64 is: 11,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.64 : 34,721.82 = 7,358.64 : x
  2. Step 2: Convert to fraction form
    23,156.64/34,721.82 = 7,358.64/x
  3. Step 3: Cross multiply
    23,156.64x = 34,721.82 × 7,358.64
  4. Step 4: Simplify right side
    23,156.64x = 255,505,373.52
  5. Step 5: Solve for x
    x = 255,505,373.52/23,156.64
  6. Step 6: Final answer
    x = 11,033.78

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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.