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Finding the Fourth Proportional to 15,388.40, 21,236 and 8,314.83

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Solution

The fourth proportional to 15,388.40, 21,236 and 8,314.83 is: 11,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388.40 : 21,236 = 8,314.83 : x
  2. Step 2: Convert to fraction form
    15,388.40/21,236 = 8,314.83/x
  3. Step 3: Cross multiply
    15,388.40x = 21,236 × 8,314.83
  4. Step 4: Simplify right side
    15,388.40x = 176,573,729.88
  5. Step 5: Solve for x
    x = 176,573,729.88/15,388.40
  6. Step 6: Final answer
    x = 11,474.47

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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.