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Finding the Fourth Proportional to 16,775.19, 23,149.74 and 9,222

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Solution

The fourth proportional to 16,775.19, 23,149.74 and 9,222 is: 12,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775.19 : 23,149.74 = 9,222 : x
  2. Step 2: Convert to fraction form
    16,775.19/23,149.74 = 9,222/x
  3. Step 3: Cross multiply
    16,775.19x = 23,149.74 × 9,222
  4. Step 4: Simplify right side
    16,775.19x = 213,486,902.28
  5. Step 5: Solve for x
    x = 213,486,902.28/16,775.19
  6. Step 6: Final answer
    x = 12,726.35

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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.