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Finding the Fourth Proportional to 19,644.84, 29,471.52 and 6,496.56

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Solution

The fourth proportional to 19,644.84, 29,471.52 and 6,496.56 is: 9,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.84 : 29,471.52 = 6,496.56 : x
  2. Step 2: Convert to fraction form
    19,644.84/29,471.52 = 6,496.56/x
  3. Step 3: Cross multiply
    19,644.84x = 29,471.52 × 6,496.56
  4. Step 4: Simplify right side
    19,644.84x = 191,463,497.97
  5. Step 5: Solve for x
    x = 191,463,497.97/19,644.84
  6. Step 6: Final answer
    x = 9,746.25

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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.