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Finding the Fourth Proportional to 22,496.94, 31,051.78 and 12,937.86

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Solution

The fourth proportional to 22,496.94, 31,051.78 and 12,937.86 is: 17,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.94 : 31,051.78 = 12,937.86 : x
  2. Step 2: Convert to fraction form
    22,496.94/31,051.78 = 12,937.86/x
  3. Step 3: Cross multiply
    22,496.94x = 31,051.78 × 12,937.86
  4. Step 4: Simplify right side
    22,496.94x = 401,743,550.05
  5. Step 5: Solve for x
    x = 401,743,550.05/22,496.94
  6. Step 6: Final answer
    x = 17,857.70

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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.