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Finding the Fourth Proportional to 21,352.54, 32,035.26 and 9,665.86

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Solution

The fourth proportional to 21,352.54, 32,035.26 and 9,665.86 is: 14,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.54 : 32,035.26 = 9,665.86 : x
  2. Step 2: Convert to fraction form
    21,352.54/32,035.26 = 9,665.86/x
  3. Step 3: Cross multiply
    21,352.54x = 32,035.26 × 9,665.86
  4. Step 4: Simplify right side
    21,352.54x = 309,648,338.22
  5. Step 5: Solve for x
    x = 309,648,338.22/21,352.54
  6. Step 6: Final answer
    x = 14,501.71

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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.