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Finding the Fourth Proportional to 22,846.98, 34,255.79 and 9,529.17

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Solution

The fourth proportional to 22,846.98, 34,255.79 and 9,529.17 is: 14,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.98 : 34,255.79 = 9,529.17 : x
  2. Step 2: Convert to fraction form
    22,846.98/34,255.79 = 9,529.17/x
  3. Step 3: Cross multiply
    22,846.98x = 34,255.79 × 9,529.17
  4. Step 4: Simplify right side
    22,846.98x = 326,429,159.63
  5. Step 5: Solve for x
    x = 326,429,159.63/22,846.98
  6. Step 6: Final answer
    x = 14,287.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.