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Finding the Fourth Proportional to 21,855.90, 32,792.13 and 13,097.10

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Solution

The fourth proportional to 21,855.90, 32,792.13 and 13,097.10 is: 19,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855.90 : 32,792.13 = 13,097.10 : x
  2. Step 2: Convert to fraction form
    21,855.90/32,792.13 = 13,097.10/x
  3. Step 3: Cross multiply
    21,855.90x = 32,792.13 × 13,097.10
  4. Step 4: Simplify right side
    21,855.90x = 429,481,805.82
  5. Step 5: Solve for x
    x = 429,481,805.82/21,855.90
  6. Step 6: Final answer
    x = 19,650.61

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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.