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Finding the Fourth Proportional to 14,216.45, 19,617.81 and 7,843.13

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Solution

The fourth proportional to 14,216.45, 19,617.81 and 7,843.13 is: 10,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.45 : 19,617.81 = 7,843.13 : x
  2. Step 2: Convert to fraction form
    14,216.45/19,617.81 = 7,843.13/x
  3. Step 3: Cross multiply
    14,216.45x = 19,617.81 × 7,843.13
  4. Step 4: Simplify right side
    14,216.45x = 153,865,034.15
  5. Step 5: Solve for x
    x = 153,865,034.15/14,216.45
  6. Step 6: Final answer
    x = 10,823.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.