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Finding the Fourth Proportional to 14,605.38, 20,150.01 and 10,133.10

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Solution

The fourth proportional to 14,605.38, 20,150.01 and 10,133.10 is: 13,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.38 : 20,150.01 = 10,133.10 : x
  2. Step 2: Convert to fraction form
    14,605.38/20,150.01 = 10,133.10/x
  3. Step 3: Cross multiply
    14,605.38x = 20,150.01 × 10,133.10
  4. Step 4: Simplify right side
    14,605.38x = 204,182,066.33
  5. Step 5: Solve for x
    x = 204,182,066.33/14,605.38
  6. Step 6: Final answer
    x = 13,979.92

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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.