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Finding the Fourth Proportional to 21,332.90, 32,000.16 and 8,186.60

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Solution

The fourth proportional to 21,332.90, 32,000.16 and 8,186.60 is: 12,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.90 : 32,000.16 = 8,186.60 : x
  2. Step 2: Convert to fraction form
    21,332.90/32,000.16 = 8,186.60/x
  3. Step 3: Cross multiply
    21,332.90x = 32,000.16 × 8,186.60
  4. Step 4: Simplify right side
    21,332.90x = 261,972,509.86
  5. Step 5: Solve for x
    x = 261,972,509.86/21,332.90
  6. Step 6: Final answer
    x = 12,280.21

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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.