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Finding the Fourth Proportional to 19,643.86, 27,109.14 and 11,146.34

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Solution

The fourth proportional to 19,643.86, 27,109.14 and 11,146.34 is: 15,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.86 : 27,109.14 = 11,146.34 : x
  2. Step 2: Convert to fraction form
    19,643.86/27,109.14 = 11,146.34/x
  3. Step 3: Cross multiply
    19,643.86x = 27,109.14 × 11,146.34
  4. Step 4: Simplify right side
    19,643.86x = 302,167,691.55
  5. Step 5: Solve for x
    x = 302,167,691.55/19,643.86
  6. Step 6: Final answer
    x = 15,382.30

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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.