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Finding the Fourth Proportional to 19,670.81, 29,507.25 and 8,578.27

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Solution

The fourth proportional to 19,670.81, 29,507.25 and 8,578.27 is: 12,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.81 : 29,507.25 = 8,578.27 : x
  2. Step 2: Convert to fraction form
    19,670.81/29,507.25 = 8,578.27/x
  3. Step 3: Cross multiply
    19,670.81x = 29,507.25 × 8,578.27
  4. Step 4: Simplify right side
    19,670.81x = 253,121,009.92
  5. Step 5: Solve for x
    x = 253,121,009.92/19,670.81
  6. Step 6: Final answer
    x = 12,867.85

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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.