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Finding the Fourth Proportional to 14,843.00, 22,232.13 and 7,434.53

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Solution

The fourth proportional to 14,843.00, 22,232.13 and 7,434.53 is: 11,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.00 : 22,232.13 = 7,434.53 : x
  2. Step 2: Convert to fraction form
    14,843.00/22,232.13 = 7,434.53/x
  3. Step 3: Cross multiply
    14,843.00x = 22,232.13 × 7,434.53
  4. Step 4: Simplify right side
    14,843.00x = 165,285,326.29
  5. Step 5: Solve for x
    x = 165,285,326.29/14,843.00
  6. Step 6: Final answer
    x = 11,135.58

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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.