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Finding the Fourth Proportional to 16,216, 22,378.08 and 8,764

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Solution

The fourth proportional to 16,216, 22,378.08 and 8,764 is: 12,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216 : 22,378.08 = 8,764 : x
  2. Step 2: Convert to fraction form
    16,216/22,378.08 = 8,764/x
  3. Step 3: Cross multiply
    16,216x = 22,378.08 × 8,764
  4. Step 4: Simplify right side
    16,216x = 196,121,493.12
  5. Step 5: Solve for x
    x = 196,121,493.12/16,216
  6. Step 6: Final answer
    x = 12,094.32

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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.