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Finding the Fourth Proportional to 22,606, 31,196.66 and 12,534.86

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Solution

The fourth proportional to 22,606, 31,196.66 and 12,534.86 is: 17,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606 : 31,196.66 = 12,534.86 : x
  2. Step 2: Convert to fraction form
    22,606/31,196.66 = 12,534.86/x
  3. Step 3: Cross multiply
    22,606x = 31,196.66 × 12,534.86
  4. Step 4: Simplify right side
    22,606x = 391,045,765.57
  5. Step 5: Solve for x
    x = 391,045,765.57/22,606
  6. Step 6: Final answer
    x = 17,298.32

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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.