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Finding the Fourth Proportional to 22,782.40, 34,111.84 and 11,815.36

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Solution

The fourth proportional to 22,782.40, 34,111.84 and 11,815.36 is: 17,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.40 : 34,111.84 = 11,815.36 : x
  2. Step 2: Convert to fraction form
    22,782.40/34,111.84 = 11,815.36/x
  3. Step 3: Cross multiply
    22,782.40x = 34,111.84 × 11,815.36
  4. Step 4: Simplify right side
    22,782.40x = 403,043,669.86
  5. Step 5: Solve for x
    x = 403,043,669.86/22,782.40
  6. Step 6: Final answer
    x = 17,691.01

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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.