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Finding the Fourth Proportional to 15,837.33, 21,830.34 and 12,474.82

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Solution

The fourth proportional to 15,837.33, 21,830.34 and 12,474.82 is: 17,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.33 : 21,830.34 = 12,474.82 : x
  2. Step 2: Convert to fraction form
    15,837.33/21,830.34 = 12,474.82/x
  3. Step 3: Cross multiply
    15,837.33x = 21,830.34 × 12,474.82
  4. Step 4: Simplify right side
    15,837.33x = 272,329,562.04
  5. Step 5: Solve for x
    x = 272,329,562.04/15,837.33
  6. Step 6: Final answer
    x = 17,195.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.