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Finding the Fourth Proportional to 16,664, 24,994.92 and 9,182.02

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Solution

The fourth proportional to 16,664, 24,994.92 and 9,182.02 is: 13,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664 : 24,994.92 = 9,182.02 : x
  2. Step 2: Convert to fraction form
    16,664/24,994.92 = 9,182.02/x
  3. Step 3: Cross multiply
    16,664x = 24,994.92 × 9,182.02
  4. Step 4: Simplify right side
    16,664x = 229,503,855.34
  5. Step 5: Solve for x
    x = 229,503,855.34/16,664
  6. Step 6: Final answer
    x = 13,772.43

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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.