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Finding the Fourth Proportional to 22,708.69, 31,338.47 and 12,638.93

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Solution

The fourth proportional to 22,708.69, 31,338.47 and 12,638.93 is: 17,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.69 : 31,338.47 = 12,638.93 : x
  2. Step 2: Convert to fraction form
    22,708.69/31,338.47 = 12,638.93/x
  3. Step 3: Cross multiply
    22,708.69x = 31,338.47 × 12,638.93
  4. Step 4: Simplify right side
    22,708.69x = 396,084,603.54
  5. Step 5: Solve for x
    x = 396,084,603.54/22,708.69
  6. Step 6: Final answer
    x = 17,441.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.