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Finding the Fourth Proportional to 22,967.80, 31,687.06 and 14,467.64

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Solution

The fourth proportional to 22,967.80, 31,687.06 and 14,467.64 is: 19,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.80 : 31,687.06 = 14,467.64 : x
  2. Step 2: Convert to fraction form
    22,967.80/31,687.06 = 14,467.64/x
  3. Step 3: Cross multiply
    22,967.80x = 31,687.06 × 14,467.64
  4. Step 4: Simplify right side
    22,967.80x = 458,436,976.74
  5. Step 5: Solve for x
    x = 458,436,976.74/22,967.80
  6. Step 6: Final answer
    x = 19,959.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.