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Finding the Fourth Proportional to 14,543.96, 21,820.17 and 7,150.64

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Solution

The fourth proportional to 14,543.96, 21,820.17 and 7,150.64 is: 10,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.96 : 21,820.17 = 7,150.64 : x
  2. Step 2: Convert to fraction form
    14,543.96/21,820.17 = 7,150.64/x
  3. Step 3: Cross multiply
    14,543.96x = 21,820.17 × 7,150.64
  4. Step 4: Simplify right side
    14,543.96x = 156,028,180.41
  5. Step 5: Solve for x
    x = 156,028,180.41/14,543.96
  6. Step 6: Final answer
    x = 10,728.04

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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.