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Finding the Fourth Proportional to 19,670.40, 29,506.44 and 6,523.92

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Solution

The fourth proportional to 19,670.40, 29,506.44 and 6,523.92 is: 9,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.40 : 29,506.44 = 6,523.92 : x
  2. Step 2: Convert to fraction form
    19,670.40/29,506.44 = 6,523.92/x
  3. Step 3: Cross multiply
    19,670.40x = 29,506.44 × 6,523.92
  4. Step 4: Simplify right side
    19,670.40x = 192,497,654.04
  5. Step 5: Solve for x
    x = 192,497,654.04/19,670.40
  6. Step 6: Final answer
    x = 9,786.16

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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.