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Finding the Fourth Proportional to 22,607.76, 31,197.86 and 12,536.38

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Solution

The fourth proportional to 22,607.76, 31,197.86 and 12,536.38 is: 17,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.76 : 31,197.86 = 12,536.38 : x
  2. Step 2: Convert to fraction form
    22,607.76/31,197.86 = 12,536.38/x
  3. Step 3: Cross multiply
    22,607.76x = 31,197.86 × 12,536.38
  4. Step 4: Simplify right side
    22,607.76x = 391,108,228.15
  5. Step 5: Solve for x
    x = 391,108,228.15/22,607.76
  6. Step 6: Final answer
    x = 17,299.73

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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.