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Finding the Fourth Proportional to 22,809.14, 31,475.41 and 12,872.50

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Solution

The fourth proportional to 22,809.14, 31,475.41 and 12,872.50 is: 17,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.14 : 31,475.41 = 12,872.50 : x
  2. Step 2: Convert to fraction form
    22,809.14/31,475.41 = 12,872.50/x
  3. Step 3: Cross multiply
    22,809.14x = 31,475.41 × 12,872.50
  4. Step 4: Simplify right side
    22,809.14x = 405,167,215.23
  5. Step 5: Solve for x
    x = 405,167,215.23/22,809.14
  6. Step 6: Final answer
    x = 17,763.37

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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.