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Finding the Fourth Proportional to 21,540.40, 32,312.12 and 5,745.34

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Solution

The fourth proportional to 21,540.40, 32,312.12 and 5,745.34 is: 8,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.40 : 32,312.12 = 5,745.34 : x
  2. Step 2: Convert to fraction form
    21,540.40/32,312.12 = 5,745.34/x
  3. Step 3: Cross multiply
    21,540.40x = 32,312.12 × 5,745.34
  4. Step 4: Simplify right side
    21,540.40x = 185,643,953.96
  5. Step 5: Solve for x
    x = 185,643,953.96/21,540.40
  6. Step 6: Final answer
    x = 8,618.41

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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.