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Finding the Fourth Proportional to 22,963.60, 34,417.72 and 11,864.24

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Solution

The fourth proportional to 22,963.60, 34,417.72 and 11,864.24 is: 17,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.60 : 34,417.72 = 11,864.24 : x
  2. Step 2: Convert to fraction form
    22,963.60/34,417.72 = 11,864.24/x
  3. Step 3: Cross multiply
    22,963.60x = 34,417.72 × 11,864.24
  4. Step 4: Simplify right side
    22,963.60x = 408,340,090.33
  5. Step 5: Solve for x
    x = 408,340,090.33/22,963.60
  6. Step 6: Final answer
    x = 17,782.06

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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.