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Finding the Fourth Proportional to 13,220.65, 19,825.83 and 6,642.25

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Solution

The fourth proportional to 13,220.65, 19,825.83 and 6,642.25 is: 9,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.65 : 19,825.83 = 6,642.25 : x
  2. Step 2: Convert to fraction form
    13,220.65/19,825.83 = 6,642.25/x
  3. Step 3: Cross multiply
    13,220.65x = 19,825.83 × 6,642.25
  4. Step 4: Simplify right side
    13,220.65x = 131,688,119.32
  5. Step 5: Solve for x
    x = 131,688,119.32/13,220.65
  6. Step 6: Final answer
    x = 9,960.79

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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.