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Finding the Fourth Proportional to 23,161.60, 31,963.04 and 12,551.14

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Solution

The fourth proportional to 23,161.60, 31,963.04 and 12,551.14 is: 17,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.60 : 31,963.04 = 12,551.14 : x
  2. Step 2: Convert to fraction form
    23,161.60/31,963.04 = 12,551.14/x
  3. Step 3: Cross multiply
    23,161.60x = 31,963.04 × 12,551.14
  4. Step 4: Simplify right side
    23,161.60x = 401,172,589.87
  5. Step 5: Solve for x
    x = 401,172,589.87/23,161.60
  6. Step 6: Final answer
    x = 17,320.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.