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Finding the Fourth Proportional to 16,180.71, 22,325.01 and 9,468

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Solution

The fourth proportional to 16,180.71, 22,325.01 and 9,468 is: 13,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.71 : 22,325.01 = 9,468 : x
  2. Step 2: Convert to fraction form
    16,180.71/22,325.01 = 9,468/x
  3. Step 3: Cross multiply
    16,180.71x = 22,325.01 × 9,468
  4. Step 4: Simplify right side
    16,180.71x = 211,373,194.68
  5. Step 5: Solve for x
    x = 211,373,194.68/16,180.71
  6. Step 6: Final answer
    x = 13,063.28

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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.