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Finding the Fourth Proportional to 22,705.14, 31,332.24 and 12,633.96

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Solution

The fourth proportional to 22,705.14, 31,332.24 and 12,633.96 is: 17,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.14 : 31,332.24 = 12,633.96 : x
  2. Step 2: Convert to fraction form
    22,705.14/31,332.24 = 12,633.96/x
  3. Step 3: Cross multiply
    22,705.14x = 31,332.24 × 12,633.96
  4. Step 4: Simplify right side
    22,705.14x = 395,850,266.87
  5. Step 5: Solve for x
    x = 395,850,266.87/22,705.14
  6. Step 6: Final answer
    x = 17,434.39

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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.