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Finding the Fourth Proportional to 22,902.39, 31,607.25 and 12,830.70

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Solution

The fourth proportional to 22,902.39, 31,607.25 and 12,830.70 is: 17,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.39 : 31,607.25 = 12,830.70 : x
  2. Step 2: Convert to fraction form
    22,902.39/31,607.25 = 12,830.70/x
  3. Step 3: Cross multiply
    22,902.39x = 31,607.25 × 12,830.70
  4. Step 4: Simplify right side
    22,902.39x = 405,543,142.58
  5. Step 5: Solve for x
    x = 405,543,142.58/22,902.39
  6. Step 6: Final answer
    x = 17,707.46

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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.