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Finding the Fourth Proportional to 37,009.68, 55,517.04 and 13,637.76

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Solution

The fourth proportional to 37,009.68, 55,517.04 and 13,637.76 is: 20,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.68 : 55,517.04 = 13,637.76 : x
  2. Step 2: Convert to fraction form
    37,009.68/55,517.04 = 13,637.76/x
  3. Step 3: Cross multiply
    37,009.68x = 55,517.04 × 13,637.76
  4. Step 4: Simplify right side
    37,009.68x = 757,128,067.43
  5. Step 5: Solve for x
    x = 757,128,067.43/37,009.68
  6. Step 6: Final answer
    x = 20,457.57

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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.