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Finding the Fourth Proportional to 19,647.24, 29,464.58 and 6,497.16

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Solution

The fourth proportional to 19,647.24, 29,464.58 and 6,497.16 is: 9,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.24 : 29,464.58 = 6,497.16 : x
  2. Step 2: Convert to fraction form
    19,647.24/29,464.58 = 6,497.16/x
  3. Step 3: Cross multiply
    19,647.24x = 29,464.58 × 6,497.16
  4. Step 4: Simplify right side
    19,647.24x = 191,436,090.59
  5. Step 5: Solve for x
    x = 191,436,090.59/19,647.24
  6. Step 6: Final answer
    x = 9,743.66

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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.