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Finding the Fourth Proportional to 21,415.66, 32,106.17 and 8,945.24

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Solution

The fourth proportional to 21,415.66, 32,106.17 and 8,945.24 is: 13,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.66 : 32,106.17 = 8,945.24 : x
  2. Step 2: Convert to fraction form
    21,415.66/32,106.17 = 8,945.24/x
  3. Step 3: Cross multiply
    21,415.66x = 32,106.17 × 8,945.24
  4. Step 4: Simplify right side
    21,415.66x = 287,197,257.96
  5. Step 5: Solve for x
    x = 287,197,257.96/21,415.66
  6. Step 6: Final answer
    x = 13,410.62

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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.