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Finding the Fourth Proportional to 21,332.40, 31,999.41 and 8,186.10

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Solution

The fourth proportional to 21,332.40, 31,999.41 and 8,186.10 is: 12,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.40 : 31,999.41 = 8,186.10 : x
  2. Step 2: Convert to fraction form
    21,332.40/31,999.41 = 8,186.10/x
  3. Step 3: Cross multiply
    21,332.40x = 31,999.41 × 8,186.10
  4. Step 4: Simplify right side
    21,332.40x = 261,950,370.20
  5. Step 5: Solve for x
    x = 261,950,370.20/21,332.40
  6. Step 6: Final answer
    x = 12,279.46

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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.