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Finding the Fourth Proportional to 13,442.99, 20,164.48 and 6,401.65

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Solution

The fourth proportional to 13,442.99, 20,164.48 and 6,401.65 is: 9,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.99 : 20,164.48 = 6,401.65 : x
  2. Step 2: Convert to fraction form
    13,442.99/20,164.48 = 6,401.65/x
  3. Step 3: Cross multiply
    13,442.99x = 20,164.48 × 6,401.65
  4. Step 4: Simplify right side
    13,442.99x = 129,085,943.14
  5. Step 5: Solve for x
    x = 129,085,943.14/13,442.99
  6. Step 6: Final answer
    x = 9,602.48

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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.