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Finding the Fourth Proportional to 21,520.44, 32,275.80 and 9,837

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Solution

The fourth proportional to 21,520.44, 32,275.80 and 9,837 is: 14,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.44 : 32,275.80 = 9,837 : x
  2. Step 2: Convert to fraction form
    21,520.44/32,275.80 = 9,837/x
  3. Step 3: Cross multiply
    21,520.44x = 32,275.80 × 9,837
  4. Step 4: Simplify right side
    21,520.44x = 317,497,044.60
  5. Step 5: Solve for x
    x = 317,497,044.60/21,520.44
  6. Step 6: Final answer
    x = 14,753.28

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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.