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Finding the Fourth Proportional to 15,422.50, 21,283.16 and 8,348.94

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Solution

The fourth proportional to 15,422.50, 21,283.16 and 8,348.94 is: 11,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.50 : 21,283.16 = 8,348.94 : x
  2. Step 2: Convert to fraction form
    15,422.50/21,283.16 = 8,348.94/x
  3. Step 3: Cross multiply
    15,422.50x = 21,283.16 × 8,348.94
  4. Step 4: Simplify right side
    15,422.50x = 177,691,825.85
  5. Step 5: Solve for x
    x = 177,691,825.85/15,422.50
  6. Step 6: Final answer
    x = 11,521.60

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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.