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Finding the Fourth Proportional to 19,655.38, 27,122.07 and 11,158.48

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Solution

The fourth proportional to 19,655.38, 27,122.07 and 11,158.48 is: 15,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.38 : 27,122.07 = 11,158.48 : x
  2. Step 2: Convert to fraction form
    19,655.38/27,122.07 = 11,158.48/x
  3. Step 3: Cross multiply
    19,655.38x = 27,122.07 × 11,158.48
  4. Step 4: Simplify right side
    19,655.38x = 302,641,075.65
  5. Step 5: Solve for x
    x = 302,641,075.65/19,655.38
  6. Step 6: Final answer
    x = 15,397.37

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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.