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Finding the Fourth Proportional to 16,193.38, 22,346.93 and 9,119.92

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Solution

The fourth proportional to 16,193.38, 22,346.93 and 9,119.92 is: 12,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.38 : 22,346.93 = 9,119.92 : x
  2. Step 2: Convert to fraction form
    16,193.38/22,346.93 = 9,119.92/x
  3. Step 3: Cross multiply
    16,193.38x = 22,346.93 × 9,119.92
  4. Step 4: Simplify right side
    16,193.38x = 203,802,056.51
  5. Step 5: Solve for x
    x = 203,802,056.51/16,193.38
  6. Step 6: Final answer
    x = 12,585.52

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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.