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Finding the Fourth Proportional to 21,649.96, 32,478.35 and 9,170.02

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Solution

The fourth proportional to 21,649.96, 32,478.35 and 9,170.02 is: 13,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.96 : 32,478.35 = 9,170.02 : x
  2. Step 2: Convert to fraction form
    21,649.96/32,478.35 = 9,170.02/x
  3. Step 3: Cross multiply
    21,649.96x = 32,478.35 × 9,170.02
  4. Step 4: Simplify right side
    21,649.96x = 297,826,992.02
  5. Step 5: Solve for x
    x = 297,826,992.02/21,649.96
  6. Step 6: Final answer
    x = 13,756.47

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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.