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Finding the Fourth Proportional to 16,554, 22,844.64 and 9,102

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Solution

The fourth proportional to 16,554, 22,844.64 and 9,102 is: 12,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554 : 22,844.64 = 9,102 : x
  2. Step 2: Convert to fraction form
    16,554/22,844.64 = 9,102/x
  3. Step 3: Cross multiply
    16,554x = 22,844.64 × 9,102
  4. Step 4: Simplify right side
    16,554x = 207,931,913.28
  5. Step 5: Solve for x
    x = 207,931,913.28/16,554
  6. Step 6: Final answer
    x = 12,560.83

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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.