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Finding the Fourth Proportional to 21,334.87, 32,018.64 and 9,656.29

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Solution

The fourth proportional to 21,334.87, 32,018.64 and 9,656.29 is: 14,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.87 : 32,018.64 = 9,656.29 : x
  2. Step 2: Convert to fraction form
    21,334.87/32,018.64 = 9,656.29/x
  3. Step 3: Cross multiply
    21,334.87x = 32,018.64 × 9,656.29
  4. Step 4: Simplify right side
    21,334.87x = 309,181,273.25
  5. Step 5: Solve for x
    x = 309,181,273.25/21,334.87
  6. Step 6: Final answer
    x = 14,491.83

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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.