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Finding the Fourth Proportional to 16,596, 22,902.48 and 9,144

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Solution

The fourth proportional to 16,596, 22,902.48 and 9,144 is: 12,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596 : 22,902.48 = 9,144 : x
  2. Step 2: Convert to fraction form
    16,596/22,902.48 = 9,144/x
  3. Step 3: Cross multiply
    16,596x = 22,902.48 × 9,144
  4. Step 4: Simplify right side
    16,596x = 209,420,277.12
  5. Step 5: Solve for x
    x = 209,420,277.12/16,596
  6. Step 6: Final answer
    x = 12,618.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.