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Finding the Fourth Proportional to 16,374, 22,596.18 and 8,922

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Solution

The fourth proportional to 16,374, 22,596.18 and 8,922 is: 12,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374 : 22,596.18 = 8,922 : x
  2. Step 2: Convert to fraction form
    16,374/22,596.18 = 8,922/x
  3. Step 3: Cross multiply
    16,374x = 22,596.18 × 8,922
  4. Step 4: Simplify right side
    16,374x = 201,603,117.96
  5. Step 5: Solve for x
    x = 201,603,117.96/16,374
  6. Step 6: Final answer
    x = 12,312.39

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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.