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Finding the Fourth Proportional to 22,930.23, 31,645.23 and 12,859.32

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Solution

The fourth proportional to 22,930.23, 31,645.23 and 12,859.32 is: 17,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.23 : 31,645.23 = 12,859.32 : x
  2. Step 2: Convert to fraction form
    22,930.23/31,645.23 = 12,859.32/x
  3. Step 3: Cross multiply
    22,930.23x = 31,645.23 × 12,859.32
  4. Step 4: Simplify right side
    22,930.23x = 406,936,139.04
  5. Step 5: Solve for x
    x = 406,936,139.04/22,930.23
  6. Step 6: Final answer
    x = 17,746.71

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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.