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Finding the Fourth Proportional to 15,434.46, 23,057.82 and 9,843.30

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Solution

The fourth proportional to 15,434.46, 23,057.82 and 9,843.30 is: 14,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.46 : 23,057.82 = 9,843.30 : x
  2. Step 2: Convert to fraction form
    15,434.46/23,057.82 = 9,843.30/x
  3. Step 3: Cross multiply
    15,434.46x = 23,057.82 × 9,843.30
  4. Step 4: Simplify right side
    15,434.46x = 226,965,039.61
  5. Step 5: Solve for x
    x = 226,965,039.61/15,434.46
  6. Step 6: Final answer
    x = 14,705.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.