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Finding the Fourth Proportional to 19,644.59, 29,463.96 and 6,497.03

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Solution

The fourth proportional to 19,644.59, 29,463.96 and 6,497.03 is: 9,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.59 : 29,463.96 = 6,497.03 : x
  2. Step 2: Convert to fraction form
    19,644.59/29,463.96 = 6,497.03/x
  3. Step 3: Cross multiply
    19,644.59x = 29,463.96 × 6,497.03
  4. Step 4: Simplify right side
    19,644.59x = 191,428,232.04
  5. Step 5: Solve for x
    x = 191,428,232.04/19,644.59
  6. Step 6: Final answer
    x = 9,744.58

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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.