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Finding the Fourth Proportional to 14,389.80, 19,857.69 and 8,102.13

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Solution

The fourth proportional to 14,389.80, 19,857.69 and 8,102.13 is: 11,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.80 : 19,857.69 = 8,102.13 : x
  2. Step 2: Convert to fraction form
    14,389.80/19,857.69 = 8,102.13/x
  3. Step 3: Cross multiply
    14,389.80x = 19,857.69 × 8,102.13
  4. Step 4: Simplify right side
    14,389.80x = 160,889,585.88
  5. Step 5: Solve for x
    x = 160,889,585.88/14,389.80
  6. Step 6: Final answer
    x = 11,180.81

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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.