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Finding the Fourth Proportional to 13,038.28, 19,560.30 and 6,109

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Solution

The fourth proportional to 13,038.28, 19,560.30 and 6,109 is: 9,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.28 : 19,560.30 = 6,109 : x
  2. Step 2: Convert to fraction form
    13,038.28/19,560.30 = 6,109/x
  3. Step 3: Cross multiply
    13,038.28x = 19,560.30 × 6,109
  4. Step 4: Simplify right side
    13,038.28x = 119,493,872.70
  5. Step 5: Solve for x
    x = 119,493,872.70/13,038.28
  6. Step 6: Final answer
    x = 9,164.85

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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.