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Finding the Fourth Proportional to 12,722.34, 17,553.24 and 8,246.28

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Solution

The fourth proportional to 12,722.34, 17,553.24 and 8,246.28 is: 11,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.34 : 17,553.24 = 8,246.28 : x
  2. Step 2: Convert to fraction form
    12,722.34/17,553.24 = 8,246.28/x
  3. Step 3: Cross multiply
    12,722.34x = 17,553.24 × 8,246.28
  4. Step 4: Simplify right side
    12,722.34x = 144,748,931.95
  5. Step 5: Solve for x
    x = 144,748,931.95/12,722.34
  6. Step 6: Final answer
    x = 11,377.54

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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.