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Finding the Fourth Proportional to 16,552.88, 24,818.36 and 6,551

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Solution

The fourth proportional to 16,552.88, 24,818.36 and 6,551 is: 9,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.88 : 24,818.36 = 6,551 : x
  2. Step 2: Convert to fraction form
    16,552.88/24,818.36 = 6,551/x
  3. Step 3: Cross multiply
    16,552.88x = 24,818.36 × 6,551
  4. Step 4: Simplify right side
    16,552.88x = 162,585,076.36
  5. Step 5: Solve for x
    x = 162,585,076.36/16,552.88
  6. Step 6: Final answer
    x = 9,822.16

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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.