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Finding the Fourth Proportional to 19,712.06, 29,580.78 and 7,863.81

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Solution

The fourth proportional to 19,712.06, 29,580.78 and 7,863.81 is: 11,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.06 : 29,580.78 = 7,863.81 : x
  2. Step 2: Convert to fraction form
    19,712.06/29,580.78 = 7,863.81/x
  3. Step 3: Cross multiply
    19,712.06x = 29,580.78 × 7,863.81
  4. Step 4: Simplify right side
    19,712.06x = 232,617,633.57
  5. Step 5: Solve for x
    x = 232,617,633.57/19,712.06
  6. Step 6: Final answer
    x = 11,800.78

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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.