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Finding the Fourth Proportional to 13,158.65, 19,745.75 and 4,844.49

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Solution

The fourth proportional to 13,158.65, 19,745.75 and 4,844.49 is: 7,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.65 : 19,745.75 = 4,844.49 : x
  2. Step 2: Convert to fraction form
    13,158.65/19,745.75 = 4,844.49/x
  3. Step 3: Cross multiply
    13,158.65x = 19,745.75 × 4,844.49
  4. Step 4: Simplify right side
    13,158.65x = 95,658,064.20
  5. Step 5: Solve for x
    x = 95,658,064.20/13,158.65
  6. Step 6: Final answer
    x = 7,269.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.