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Finding the Fourth Proportional to 13,158.02, 18,149.46 and 7,849.28

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Solution

The fourth proportional to 13,158.02, 18,149.46 and 7,849.28 is: 10,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.02 : 18,149.46 = 7,849.28 : x
  2. Step 2: Convert to fraction form
    13,158.02/18,149.46 = 7,849.28/x
  3. Step 3: Cross multiply
    13,158.02x = 18,149.46 × 7,849.28
  4. Step 4: Simplify right side
    13,158.02x = 142,460,193.39
  5. Step 5: Solve for x
    x = 142,460,193.39/13,158.02
  6. Step 6: Final answer
    x = 10,826.87

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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.