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Finding the Fourth Proportional to 37,097.60, 55,653.71 and 13,724.24

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Solution

The fourth proportional to 37,097.60, 55,653.71 and 13,724.24 is: 20,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.60 : 55,653.71 = 13,724.24 : x
  2. Step 2: Convert to fraction form
    37,097.60/55,653.71 = 13,724.24/x
  3. Step 3: Cross multiply
    37,097.60x = 55,653.71 × 13,724.24
  4. Step 4: Simplify right side
    37,097.60x = 763,804,526.04
  5. Step 5: Solve for x
    x = 763,804,526.04/37,097.60
  6. Step 6: Final answer
    x = 20,589.06

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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.