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Finding the Fourth Proportional to 21,753.50, 32,630.26 and 9,441.50

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Solution

The fourth proportional to 21,753.50, 32,630.26 and 9,441.50 is: 14,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.50 : 32,630.26 = 9,441.50 : x
  2. Step 2: Convert to fraction form
    21,753.50/32,630.26 = 9,441.50/x
  3. Step 3: Cross multiply
    21,753.50x = 32,630.26 × 9,441.50
  4. Step 4: Simplify right side
    21,753.50x = 308,078,599.79
  5. Step 5: Solve for x
    x = 308,078,599.79/21,753.50
  6. Step 6: Final answer
    x = 14,162.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.