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Finding the Fourth Proportional to 14,149.87, 19,529.21 and 8,185.16

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Solution

The fourth proportional to 14,149.87, 19,529.21 and 8,185.16 is: 11,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.87 : 19,529.21 = 8,185.16 : x
  2. Step 2: Convert to fraction form
    14,149.87/19,529.21 = 8,185.16/x
  3. Step 3: Cross multiply
    14,149.87x = 19,529.21 × 8,185.16
  4. Step 4: Simplify right side
    14,149.87x = 159,849,777.81
  5. Step 5: Solve for x
    x = 159,849,777.81/14,149.87
  6. Step 6: Final answer
    x = 11,296.91

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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.