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Finding the Fourth Proportional to 14,578.68, 21,905.82 and 12,734.76

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Solution

The fourth proportional to 14,578.68, 21,905.82 and 12,734.76 is: 19,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.68 : 21,905.82 = 12,734.76 : x
  2. Step 2: Convert to fraction form
    14,578.68/21,905.82 = 12,734.76/x
  3. Step 3: Cross multiply
    14,578.68x = 21,905.82 × 12,734.76
  4. Step 4: Simplify right side
    14,578.68x = 278,965,360.30
  5. Step 5: Solve for x
    x = 278,965,360.30/14,578.68
  6. Step 6: Final answer
    x = 19,135.16

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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.