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Finding the Fourth Proportional to 19,506.48, 29,250.46 and 9,634.22

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Solution

The fourth proportional to 19,506.48, 29,250.46 and 9,634.22 is: 14,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.48 : 29,250.46 = 9,634.22 : x
  2. Step 2: Convert to fraction form
    19,506.48/29,250.46 = 9,634.22/x
  3. Step 3: Cross multiply
    19,506.48x = 29,250.46 × 9,634.22
  4. Step 4: Simplify right side
    19,506.48x = 281,805,366.74
  5. Step 5: Solve for x
    x = 281,805,366.74/19,506.48
  6. Step 6: Final answer
    x = 14,446.76

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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.