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Finding the Fourth Proportional to 16,195.38, 22,349.42 and 9,484.49

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Solution

The fourth proportional to 16,195.38, 22,349.42 and 9,484.49 is: 13,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.38 : 22,349.42 = 9,484.49 : x
  2. Step 2: Convert to fraction form
    16,195.38/22,349.42 = 9,484.49/x
  3. Step 3: Cross multiply
    16,195.38x = 22,349.42 × 9,484.49
  4. Step 4: Simplify right side
    16,195.38x = 211,972,894.51
  5. Step 5: Solve for x
    x = 211,972,894.51/16,195.38
  6. Step 6: Final answer
    x = 13,088.48

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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.