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Finding the Fourth Proportional to 19,937.81, 27,514.05 and 10,985.11

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Solution

The fourth proportional to 19,937.81, 27,514.05 and 10,985.11 is: 15,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.81 : 27,514.05 = 10,985.11 : x
  2. Step 2: Convert to fraction form
    19,937.81/27,514.05 = 10,985.11/x
  3. Step 3: Cross multiply
    19,937.81x = 27,514.05 × 10,985.11
  4. Step 4: Simplify right side
    19,937.81x = 302,244,865.80
  5. Step 5: Solve for x
    x = 302,244,865.80/19,937.81
  6. Step 6: Final answer
    x = 15,159.38

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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.