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Finding the Fourth Proportional to 15,722.84, 21,704.02 and 9,434

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Solution

The fourth proportional to 15,722.84, 21,704.02 and 9,434 is: 13,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.84 : 21,704.02 = 9,434 : x
  2. Step 2: Convert to fraction form
    15,722.84/21,704.02 = 9,434/x
  3. Step 3: Cross multiply
    15,722.84x = 21,704.02 × 9,434
  4. Step 4: Simplify right side
    15,722.84x = 204,755,724.68
  5. Step 5: Solve for x
    x = 204,755,724.68/15,722.84
  6. Step 6: Final answer
    x = 13,022.82

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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.