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Finding the Fourth Proportional to 15,724.50, 21,702.92 and 9,014.64

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Solution

The fourth proportional to 15,724.50, 21,702.92 and 9,014.64 is: 12,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.50 : 21,702.92 = 9,014.64 : x
  2. Step 2: Convert to fraction form
    15,724.50/21,702.92 = 9,014.64/x
  3. Step 3: Cross multiply
    15,724.50x = 21,702.92 × 9,014.64
  4. Step 4: Simplify right side
    15,724.50x = 195,644,010.75
  5. Step 5: Solve for x
    x = 195,644,010.75/15,724.50
  6. Step 6: Final answer
    x = 12,441.99

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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.