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Finding the Fourth Proportional to 22,809.64, 31,476.10 and 12,873

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Solution

The fourth proportional to 22,809.64, 31,476.10 and 12,873 is: 17,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.64 : 31,476.10 = 12,873 : x
  2. Step 2: Convert to fraction form
    22,809.64/31,476.10 = 12,873/x
  3. Step 3: Cross multiply
    22,809.64x = 31,476.10 × 12,873
  4. Step 4: Simplify right side
    22,809.64x = 405,191,835.30
  5. Step 5: Solve for x
    x = 405,191,835.30/22,809.64
  6. Step 6: Final answer
    x = 17,764.06

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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.