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Finding the Fourth Proportional to 21,103.18, 31,643.08 and 8,631.97

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Solution

The fourth proportional to 21,103.18, 31,643.08 and 8,631.97 is: 12,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.18 : 31,643.08 = 8,631.97 : x
  2. Step 2: Convert to fraction form
    21,103.18/31,643.08 = 8,631.97/x
  3. Step 3: Cross multiply
    21,103.18x = 31,643.08 × 8,631.97
  4. Step 4: Simplify right side
    21,103.18x = 273,142,040.86
  5. Step 5: Solve for x
    x = 273,142,040.86/21,103.18
  6. Step 6: Final answer
    x = 12,943.17

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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.