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Finding the Fourth Proportional to 22,750.14, 31,392.99 and 13,678.14

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Solution

The fourth proportional to 22,750.14, 31,392.99 and 13,678.14 is: 18,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750.14 : 31,392.99 = 13,678.14 : x
  2. Step 2: Convert to fraction form
    22,750.14/31,392.99 = 13,678.14/x
  3. Step 3: Cross multiply
    22,750.14x = 31,392.99 × 13,678.14
  4. Step 4: Simplify right side
    22,750.14x = 429,397,712.24
  5. Step 5: Solve for x
    x = 429,397,712.24/22,750.14
  6. Step 6: Final answer
    x = 18,874.51

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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.