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Finding the Fourth Proportional to 23,334, 32,189.82 and 15,782.97

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Solution

The fourth proportional to 23,334, 32,189.82 and 15,782.97 is: 21,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334 : 32,189.82 = 15,782.97 : x
  2. Step 2: Convert to fraction form
    23,334/32,189.82 = 15,782.97/x
  3. Step 3: Cross multiply
    23,334x = 32,189.82 × 15,782.97
  4. Step 4: Simplify right side
    23,334x = 508,050,963.37
  5. Step 5: Solve for x
    x = 508,050,963.37/23,334
  6. Step 6: Final answer
    x = 21,772.99

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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.