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Finding the Fourth Proportional to 20,991.10, 31,497.72 and 9,305.50

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Solution

The fourth proportional to 20,991.10, 31,497.72 and 9,305.50 is: 13,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.10 : 31,497.72 = 9,305.50 : x
  2. Step 2: Convert to fraction form
    20,991.10/31,497.72 = 9,305.50/x
  3. Step 3: Cross multiply
    20,991.10x = 31,497.72 × 9,305.50
  4. Step 4: Simplify right side
    20,991.10x = 293,102,033.46
  5. Step 5: Solve for x
    x = 293,102,033.46/20,991.10
  6. Step 6: Final answer
    x = 13,963.16

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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.