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Finding the Fourth Proportional to 15,782.61, 23,677.74 and 5,922

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Solution

The fourth proportional to 15,782.61, 23,677.74 and 5,922 is: 8,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.61 : 23,677.74 = 5,922 : x
  2. Step 2: Convert to fraction form
    15,782.61/23,677.74 = 5,922/x
  3. Step 3: Cross multiply
    15,782.61x = 23,677.74 × 5,922
  4. Step 4: Simplify right side
    15,782.61x = 140,219,576.28
  5. Step 5: Solve for x
    x = 140,219,576.28/15,782.61
  6. Step 6: Final answer
    x = 8,884.44

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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.