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Finding the Fourth Proportional to 16,650.34, 24,963.21 and 7,875

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Solution

The fourth proportional to 16,650.34, 24,963.21 and 7,875 is: 11,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650.34 : 24,963.21 = 7,875 : x
  2. Step 2: Convert to fraction form
    16,650.34/24,963.21 = 7,875/x
  3. Step 3: Cross multiply
    16,650.34x = 24,963.21 × 7,875
  4. Step 4: Simplify right side
    16,650.34x = 196,585,278.75
  5. Step 5: Solve for x
    x = 196,585,278.75/16,650.34
  6. Step 6: Final answer
    x = 11,806.68

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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.