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Finding the Fourth Proportional to 16,179, 22,326.48 and 9,105

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Solution

The fourth proportional to 16,179, 22,326.48 and 9,105 is: 12,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179 : 22,326.48 = 9,105 : x
  2. Step 2: Convert to fraction form
    16,179/22,326.48 = 9,105/x
  3. Step 3: Cross multiply
    16,179x = 22,326.48 × 9,105
  4. Step 4: Simplify right side
    16,179x = 203,282,600.40
  5. Step 5: Solve for x
    x = 203,282,600.40/16,179
  6. Step 6: Final answer
    x = 12,564.60

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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.