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Finding the Fourth Proportional to 21,514.60, 32,226.54 and 9,837.64

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Solution

The fourth proportional to 21,514.60, 32,226.54 and 9,837.64 is: 14,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.60 : 32,226.54 = 9,837.64 : x
  2. Step 2: Convert to fraction form
    21,514.60/32,226.54 = 9,837.64/x
  3. Step 3: Cross multiply
    21,514.60x = 32,226.54 × 9,837.64
  4. Step 4: Simplify right side
    21,514.60x = 317,033,098.97
  5. Step 5: Solve for x
    x = 317,033,098.97/21,514.60
  6. Step 6: Final answer
    x = 14,735.72

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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.