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Finding the Fourth Proportional to 23,578.49, 35,367.68 and 6,938.51

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Solution

The fourth proportional to 23,578.49, 35,367.68 and 6,938.51 is: 10,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.49 : 35,367.68 = 6,938.51 : x
  2. Step 2: Convert to fraction form
    23,578.49/35,367.68 = 6,938.51/x
  3. Step 3: Cross multiply
    23,578.49x = 35,367.68 × 6,938.51
  4. Step 4: Simplify right side
    23,578.49x = 245,398,841.86
  5. Step 5: Solve for x
    x = 245,398,841.86/23,578.49
  6. Step 6: Final answer
    x = 10,407.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.