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Finding the Fourth Proportional to 12,972.24, 17,898.88 and 8,257.44

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Solution

The fourth proportional to 12,972.24, 17,898.88 and 8,257.44 is: 11,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.24 : 17,898.88 = 8,257.44 : x
  2. Step 2: Convert to fraction form
    12,972.24/17,898.88 = 8,257.44/x
  3. Step 3: Cross multiply
    12,972.24x = 17,898.88 × 8,257.44
  4. Step 4: Simplify right side
    12,972.24x = 147,798,927.67
  5. Step 5: Solve for x
    x = 147,798,927.67/12,972.24
  6. Step 6: Final answer
    x = 11,393.48

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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.