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Finding the Fourth Proportional to 23,139.32, 31,930.30 and 13,578.22

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Solution

The fourth proportional to 23,139.32, 31,930.30 and 13,578.22 is: 18,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.32 : 31,930.30 = 13,578.22 : x
  2. Step 2: Convert to fraction form
    23,139.32/31,930.30 = 13,578.22/x
  3. Step 3: Cross multiply
    23,139.32x = 31,930.30 × 13,578.22
  4. Step 4: Simplify right side
    23,139.32x = 433,556,638.07
  5. Step 5: Solve for x
    x = 433,556,638.07/23,139.32
  6. Step 6: Final answer
    x = 18,736.79

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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.