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Finding the Fourth Proportional to 21,583.70, 32,373.21 and 5,790.30

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Solution

The fourth proportional to 21,583.70, 32,373.21 and 5,790.30 is: 8,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.70 : 32,373.21 = 5,790.30 : x
  2. Step 2: Convert to fraction form
    21,583.70/32,373.21 = 5,790.30/x
  3. Step 3: Cross multiply
    21,583.70x = 32,373.21 × 5,790.30
  4. Step 4: Simplify right side
    21,583.70x = 187,450,597.86
  5. Step 5: Solve for x
    x = 187,450,597.86/21,583.70
  6. Step 6: Final answer
    x = 8,684.82

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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.