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Finding the Fourth Proportional to 22,843.64, 31,514.88 and 13,889.72

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Solution

The fourth proportional to 22,843.64, 31,514.88 and 13,889.72 is: 19,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.64 : 31,514.88 = 13,889.72 : x
  2. Step 2: Convert to fraction form
    22,843.64/31,514.88 = 13,889.72/x
  3. Step 3: Cross multiply
    22,843.64x = 31,514.88 × 13,889.72
  4. Step 4: Simplify right side
    22,843.64x = 437,732,859.03
  5. Step 5: Solve for x
    x = 437,732,859.03/22,843.64
  6. Step 6: Final answer
    x = 19,162.13

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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.