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Finding the Fourth Proportional to 14,222.28, 19,627.87 and 7,849.46

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Solution

The fourth proportional to 14,222.28, 19,627.87 and 7,849.46 is: 10,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.28 : 19,627.87 = 7,849.46 : x
  2. Step 2: Convert to fraction form
    14,222.28/19,627.87 = 7,849.46/x
  3. Step 3: Cross multiply
    14,222.28x = 19,627.87 × 7,849.46
  4. Step 4: Simplify right side
    14,222.28x = 154,068,114.21
  5. Step 5: Solve for x
    x = 154,068,114.21/14,222.28
  6. Step 6: Final answer
    x = 10,832.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.