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Finding the Fourth Proportional to 21,422.72, 32,133.14 and 5,840.34

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Solution

The fourth proportional to 21,422.72, 32,133.14 and 5,840.34 is: 8,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.72 : 32,133.14 = 5,840.34 : x
  2. Step 2: Convert to fraction form
    21,422.72/32,133.14 = 5,840.34/x
  3. Step 3: Cross multiply
    21,422.72x = 32,133.14 × 5,840.34
  4. Step 4: Simplify right side
    21,422.72x = 187,668,462.87
  5. Step 5: Solve for x
    x = 187,668,462.87/21,422.72
  6. Step 6: Final answer
    x = 8,760.25

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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.