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Finding the Fourth Proportional to 24,182.54, 33,387.38 and 19,717

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Solution

The fourth proportional to 24,182.54, 33,387.38 and 19,717 is: 27,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.54 : 33,387.38 = 19,717 : x
  2. Step 2: Convert to fraction form
    24,182.54/33,387.38 = 19,717/x
  3. Step 3: Cross multiply
    24,182.54x = 33,387.38 × 19,717
  4. Step 4: Simplify right side
    24,182.54x = 658,298,971.46
  5. Step 5: Solve for x
    x = 658,298,971.46/24,182.54
  6. Step 6: Final answer
    x = 27,222.08

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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.