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Finding the Fourth Proportional to 16,180.38, 22,328.92 and 9,106.84

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Solution

The fourth proportional to 16,180.38, 22,328.92 and 9,106.84 is: 12,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.38 : 22,328.92 = 9,106.84 : x
  2. Step 2: Convert to fraction form
    16,180.38/22,328.92 = 9,106.84/x
  3. Step 3: Cross multiply
    16,180.38x = 22,328.92 × 9,106.84
  4. Step 4: Simplify right side
    16,180.38x = 203,345,901.81
  5. Step 5: Solve for x
    x = 203,345,901.81/16,180.38
  6. Step 6: Final answer
    x = 12,567.44

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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.