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Finding the Fourth Proportional to 21,422.96, 32,133.51 and 5,840.58

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Solution

The fourth proportional to 21,422.96, 32,133.51 and 5,840.58 is: 8,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.96 : 32,133.51 = 5,840.58 : x
  2. Step 2: Convert to fraction form
    21,422.96/32,133.51 = 5,840.58/x
  3. Step 3: Cross multiply
    21,422.96x = 32,133.51 × 5,840.58
  4. Step 4: Simplify right side
    21,422.96x = 187,678,335.84
  5. Step 5: Solve for x
    x = 187,678,335.84/21,422.96
  6. Step 6: Final answer
    x = 8,760.62

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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.