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Finding the Fourth Proportional to 27,532.72, 37,991.46 and 16,201

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Solution

The fourth proportional to 27,532.72, 37,991.46 and 16,201 is: 22,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.72 : 37,991.46 = 16,201 : x
  2. Step 2: Convert to fraction form
    27,532.72/37,991.46 = 16,201/x
  3. Step 3: Cross multiply
    27,532.72x = 37,991.46 × 16,201
  4. Step 4: Simplify right side
    27,532.72x = 615,499,643.46
  5. Step 5: Solve for x
    x = 615,499,643.46/27,532.72
  6. Step 6: Final answer
    x = 22,355.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.