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Finding the Fourth Proportional to 19,868.66, 29,813.44 and 8,783

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Solution

The fourth proportional to 19,868.66, 29,813.44 and 8,783 is: 13,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.66 : 29,813.44 = 8,783 : x
  2. Step 2: Convert to fraction form
    19,868.66/29,813.44 = 8,783/x
  3. Step 3: Cross multiply
    19,868.66x = 29,813.44 × 8,783
  4. Step 4: Simplify right side
    19,868.66x = 261,851,443.52
  5. Step 5: Solve for x
    x = 261,851,443.52/19,868.66
  6. Step 6: Final answer
    x = 13,179.12

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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.