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Finding the Fourth Proportional to 14,216.20, 19,618.06 and 7,843.38

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Solution

The fourth proportional to 14,216.20, 19,618.06 and 7,843.38 is: 10,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.20 : 19,618.06 = 7,843.38 : x
  2. Step 2: Convert to fraction form
    14,216.20/19,618.06 = 7,843.38/x
  3. Step 3: Cross multiply
    14,216.20x = 19,618.06 × 7,843.38
  4. Step 4: Simplify right side
    14,216.20x = 153,871,899.44
  5. Step 5: Solve for x
    x = 153,871,899.44/14,216.20
  6. Step 6: Final answer
    x = 10,823.70

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Why These Related Problems?

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