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Finding the Fourth Proportional to 21,340.06, 32,026.42 and 9,661.48

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Solution

The fourth proportional to 21,340.06, 32,026.42 and 9,661.48 is: 14,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.06 : 32,026.42 = 9,661.48 : x
  2. Step 2: Convert to fraction form
    21,340.06/32,026.42 = 9,661.48/x
  3. Step 3: Cross multiply
    21,340.06x = 32,026.42 × 9,661.48
  4. Step 4: Simplify right side
    21,340.06x = 309,422,548.31
  5. Step 5: Solve for x
    x = 309,422,548.31/21,340.06
  6. Step 6: Final answer
    x = 14,499.61

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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.