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Finding the Fourth Proportional to 13,115.10, 19,675.05 and 5,324.70

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Solution

The fourth proportional to 13,115.10, 19,675.05 and 5,324.70 is: 7,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.10 : 19,675.05 = 5,324.70 : x
  2. Step 2: Convert to fraction form
    13,115.10/19,675.05 = 5,324.70/x
  3. Step 3: Cross multiply
    13,115.10x = 19,675.05 × 5,324.70
  4. Step 4: Simplify right side
    13,115.10x = 104,763,738.74
  5. Step 5: Solve for x
    x = 104,763,738.74/13,115.10
  6. Step 6: Final answer
    x = 7,988.02

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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.