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Finding the Fourth Proportional to 22,843.14, 31,514.28 and 15,190.08

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Solution

The fourth proportional to 22,843.14, 31,514.28 and 15,190.08 is: 20,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.14 : 31,514.28 = 15,190.08 : x
  2. Step 2: Convert to fraction form
    22,843.14/31,514.28 = 15,190.08/x
  3. Step 3: Cross multiply
    22,843.14x = 31,514.28 × 15,190.08
  4. Step 4: Simplify right side
    22,843.14x = 478,704,434.34
  5. Step 5: Solve for x
    x = 478,704,434.34/22,843.14
  6. Step 6: Final answer
    x = 20,956.16

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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.