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Finding the Fourth Proportional to 21,103.22, 31,643.14 and 8,632.00

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Solution

The fourth proportional to 21,103.22, 31,643.14 and 8,632.00 is: 12,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.22 : 31,643.14 = 8,632.00 : x
  2. Step 2: Convert to fraction form
    21,103.22/31,643.14 = 8,632.00/x
  3. Step 3: Cross multiply
    21,103.22x = 31,643.14 × 8,632.00
  4. Step 4: Simplify right side
    21,103.22x = 273,143,383.10
  5. Step 5: Solve for x
    x = 273,143,383.10/21,103.22
  6. Step 6: Final answer
    x = 12,943.21

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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.