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Finding the Fourth Proportional to 14,843.26, 22,264.89 and 6,629.50

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Solution

The fourth proportional to 14,843.26, 22,264.89 and 6,629.50 is: 9,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.26 : 22,264.89 = 6,629.50 : x
  2. Step 2: Convert to fraction form
    14,843.26/22,264.89 = 6,629.50/x
  3. Step 3: Cross multiply
    14,843.26x = 22,264.89 × 6,629.50
  4. Step 4: Simplify right side
    14,843.26x = 147,605,088.26
  5. Step 5: Solve for x
    x = 147,605,088.26/14,843.26
  6. Step 6: Final answer
    x = 9,944.25

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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.