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Finding the Fourth Proportional to 19,952.39, 27,534.48 and 11,000.21

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Solution

The fourth proportional to 19,952.39, 27,534.48 and 11,000.21 is: 15,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.39 : 27,534.48 = 11,000.21 : x
  2. Step 2: Convert to fraction form
    19,952.39/27,534.48 = 11,000.21/x
  3. Step 3: Cross multiply
    19,952.39x = 27,534.48 × 11,000.21
  4. Step 4: Simplify right side
    19,952.39x = 302,885,062.24
  5. Step 5: Solve for x
    x = 302,885,062.24/19,952.39
  6. Step 6: Final answer
    x = 15,180.39

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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.