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Finding the Fourth Proportional to 21,197.59, 31,775.57 and 11,842.09

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Solution

The fourth proportional to 21,197.59, 31,775.57 and 11,842.09 is: 17,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.59 : 31,775.57 = 11,842.09 : x
  2. Step 2: Convert to fraction form
    21,197.59/31,775.57 = 11,842.09/x
  3. Step 3: Cross multiply
    21,197.59x = 31,775.57 × 11,842.09
  4. Step 4: Simplify right side
    21,197.59x = 376,289,159.74
  5. Step 5: Solve for x
    x = 376,289,159.74/21,197.59
  6. Step 6: Final answer
    x = 17,751.51

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