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Finding the Fourth Proportional to 16,021.62, 22,097.07 and 10,051.38

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Solution

The fourth proportional to 16,021.62, 22,097.07 and 10,051.38 is: 13,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.62 : 22,097.07 = 10,051.38 : x
  2. Step 2: Convert to fraction form
    16,021.62/22,097.07 = 10,051.38/x
  3. Step 3: Cross multiply
    16,021.62x = 22,097.07 × 10,051.38
  4. Step 4: Simplify right side
    16,021.62x = 222,106,047.46
  5. Step 5: Solve for x
    x = 222,106,047.46/16,021.62
  6. Step 6: Final answer
    x = 13,862.90

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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.