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Finding the Fourth Proportional to 22,646, 31,251.96 and 12,710

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Solution

The fourth proportional to 22,646, 31,251.96 and 12,710 is: 17,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646 : 31,251.96 = 12,710 : x
  2. Step 2: Convert to fraction form
    22,646/31,251.96 = 12,710/x
  3. Step 3: Cross multiply
    22,646x = 31,251.96 × 12,710
  4. Step 4: Simplify right side
    22,646x = 397,212,411.60
  5. Step 5: Solve for x
    x = 397,212,411.60/22,646
  6. Step 6: Final answer
    x = 17,540.07

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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.