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Finding the Fourth Proportional to 14,149.46, 19,529.08 and 8,180.84

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Solution

The fourth proportional to 14,149.46, 19,529.08 and 8,180.84 is: 11,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.46 : 19,529.08 = 8,180.84 : x
  2. Step 2: Convert to fraction form
    14,149.46/19,529.08 = 8,180.84/x
  3. Step 3: Cross multiply
    14,149.46x = 19,529.08 × 8,180.84
  4. Step 4: Simplify right side
    14,149.46x = 159,764,278.83
  5. Step 5: Solve for x
    x = 159,764,278.83/14,149.46
  6. Step 6: Final answer
    x = 11,291.19

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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.