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Finding the Fourth Proportional to 23,982.84, 35,977.96 and 8,184.16

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Solution

The fourth proportional to 23,982.84, 35,977.96 and 8,184.16 is: 12,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982.84 : 35,977.96 = 8,184.16 : x
  2. Step 2: Convert to fraction form
    23,982.84/35,977.96 = 8,184.16/x
  3. Step 3: Cross multiply
    23,982.84x = 35,977.96 × 8,184.16
  4. Step 4: Simplify right side
    23,982.84x = 294,449,381.11
  5. Step 5: Solve for x
    x = 294,449,381.11/23,982.84
  6. Step 6: Final answer
    x = 12,277.50

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Why These Related Problems?

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