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Finding the Fourth Proportional to 13,039.68, 19,559.43 and 3,178.74

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Solution

The fourth proportional to 13,039.68, 19,559.43 and 3,178.74 is: 4,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.68 : 19,559.43 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    13,039.68/19,559.43 = 3,178.74/x
  3. Step 3: Cross multiply
    13,039.68x = 19,559.43 × 3,178.74
  4. Step 4: Simplify right side
    13,039.68x = 62,174,342.52
  5. Step 5: Solve for x
    x = 62,174,342.52/13,039.68
  6. Step 6: Final answer
    x = 4,768.09

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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.