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Finding the Fourth Proportional to 17,684.24, 26,521.95 and 5,201.78

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Solution

The fourth proportional to 17,684.24, 26,521.95 and 5,201.78 is: 7,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.24 : 26,521.95 = 5,201.78 : x
  2. Step 2: Convert to fraction form
    17,684.24/26,521.95 = 5,201.78/x
  3. Step 3: Cross multiply
    17,684.24x = 26,521.95 × 5,201.78
  4. Step 4: Simplify right side
    17,684.24x = 137,961,349.07
  5. Step 5: Solve for x
    x = 137,961,349.07/17,684.24
  6. Step 6: Final answer
    x = 7,801.37

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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.