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Finding the Fourth Proportional to 13,209.35, 19,814.74 and 3,348.71

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Solution

The fourth proportional to 13,209.35, 19,814.74 and 3,348.71 is: 5,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.35 : 19,814.74 = 3,348.71 : x
  2. Step 2: Convert to fraction form
    13,209.35/19,814.74 = 3,348.71/x
  3. Step 3: Cross multiply
    13,209.35x = 19,814.74 × 3,348.71
  4. Step 4: Simplify right side
    13,209.35x = 66,353,784.85
  5. Step 5: Solve for x
    x = 66,353,784.85/13,209.35
  6. Step 6: Final answer
    x = 5,023.25

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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.