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Finding the Fourth Proportional to 27,276.80, 37,619.52 and 16,088

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Solution

The fourth proportional to 27,276.80, 37,619.52 and 16,088 is: 22,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276.80 : 37,619.52 = 16,088 : x
  2. Step 2: Convert to fraction form
    27,276.80/37,619.52 = 16,088/x
  3. Step 3: Cross multiply
    27,276.80x = 37,619.52 × 16,088
  4. Step 4: Simplify right side
    27,276.80x = 605,222,837.76
  5. Step 5: Solve for x
    x = 605,222,837.76/27,276.80
  6. Step 6: Final answer
    x = 22,188.19

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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.