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Finding the Fourth Proportional to 21,199.51, 31,799.67 and 5,617

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Solution

The fourth proportional to 21,199.51, 31,799.67 and 5,617 is: 8,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.51 : 31,799.67 = 5,617 : x
  2. Step 2: Convert to fraction form
    21,199.51/31,799.67 = 5,617/x
  3. Step 3: Cross multiply
    21,199.51x = 31,799.67 × 5,617
  4. Step 4: Simplify right side
    21,199.51x = 178,618,746.39
  5. Step 5: Solve for x
    x = 178,618,746.39/21,199.51
  6. Step 6: Final answer
    x = 8,425.61

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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.