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Finding the Fourth Proportional to 13,390.74, 20,078.58 and 5,491.08

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Solution

The fourth proportional to 13,390.74, 20,078.58 and 5,491.08 is: 8,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.74 : 20,078.58 = 5,491.08 : x
  2. Step 2: Convert to fraction form
    13,390.74/20,078.58 = 5,491.08/x
  3. Step 3: Cross multiply
    13,390.74x = 20,078.58 × 5,491.08
  4. Step 4: Simplify right side
    13,390.74x = 110,253,089.07
  5. Step 5: Solve for x
    x = 110,253,089.07/13,390.74
  6. Step 6: Final answer
    x = 8,233.53

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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.