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Finding the Fourth Proportional to 21,745.20, 32,569.20 and 17,857.20

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Solution

The fourth proportional to 21,745.20, 32,569.20 and 17,857.20 is: 26,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.20 : 32,569.20 = 17,857.20 : x
  2. Step 2: Convert to fraction form
    21,745.20/32,569.20 = 17,857.20/x
  3. Step 3: Cross multiply
    21,745.20x = 32,569.20 × 17,857.20
  4. Step 4: Simplify right side
    21,745.20x = 581,594,718.24
  5. Step 5: Solve for x
    x = 581,594,718.24/21,745.20
  6. Step 6: Final answer
    x = 26,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.