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Finding the Fourth Proportional to 13,974.68, 20,929.68 and 8,415.75

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Solution

The fourth proportional to 13,974.68, 20,929.68 and 8,415.75 is: 12,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.68 : 20,929.68 = 8,415.75 : x
  2. Step 2: Convert to fraction form
    13,974.68/20,929.68 = 8,415.75/x
  3. Step 3: Cross multiply
    13,974.68x = 20,929.68 × 8,415.75
  4. Step 4: Simplify right side
    13,974.68x = 176,138,954.46
  5. Step 5: Solve for x
    x = 176,138,954.46/13,974.68
  6. Step 6: Final answer
    x = 12,604.15

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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.