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Finding the Fourth Proportional to 15,837.68, 23,758.96 and 5,447

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Solution

The fourth proportional to 15,837.68, 23,758.96 and 5,447 is: 8,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.68 : 23,758.96 = 5,447 : x
  2. Step 2: Convert to fraction form
    15,837.68/23,758.96 = 5,447/x
  3. Step 3: Cross multiply
    15,837.68x = 23,758.96 × 5,447
  4. Step 4: Simplify right side
    15,837.68x = 129,415,055.12
  5. Step 5: Solve for x
    x = 129,415,055.12/15,837.68
  6. Step 6: Final answer
    x = 8,171.34

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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.