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Finding the Fourth Proportional to 13,003.40, 19,505.10 and 5,217.80

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Solution

The fourth proportional to 13,003.40, 19,505.10 and 5,217.80 is: 7,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.40 : 19,505.10 = 5,217.80 : x
  2. Step 2: Convert to fraction form
    13,003.40/19,505.10 = 5,217.80/x
  3. Step 3: Cross multiply
    13,003.40x = 19,505.10 × 5,217.80
  4. Step 4: Simplify right side
    13,003.40x = 101,773,710.78
  5. Step 5: Solve for x
    x = 101,773,710.78/13,003.40
  6. Step 6: Final answer
    x = 7,826.70

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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.