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Finding the Fourth Proportional to 19,671.48, 29,507.04 and 7,981.92

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Solution

The fourth proportional to 19,671.48, 29,507.04 and 7,981.92 is: 11,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.48 : 29,507.04 = 7,981.92 : x
  2. Step 2: Convert to fraction form
    19,671.48/29,507.04 = 7,981.92/x
  3. Step 3: Cross multiply
    19,671.48x = 29,507.04 × 7,981.92
  4. Step 4: Simplify right side
    19,671.48x = 235,522,832.72
  5. Step 5: Solve for x
    x = 235,522,832.72/19,671.48
  6. Step 6: Final answer
    x = 11,972.81

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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.