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Finding the Fourth Proportional to 22,473.72, 31,013.70 and 12,914.28

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Solution

The fourth proportional to 22,473.72, 31,013.70 and 12,914.28 is: 17,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.72 : 31,013.70 = 12,914.28 : x
  2. Step 2: Convert to fraction form
    22,473.72/31,013.70 = 12,914.28/x
  3. Step 3: Cross multiply
    22,473.72x = 31,013.70 × 12,914.28
  4. Step 4: Simplify right side
    22,473.72x = 400,519,605.64
  5. Step 5: Solve for x
    x = 400,519,605.64/22,473.72
  6. Step 6: Final answer
    x = 17,821.69

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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.