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Finding the Fourth Proportional to 14,389.62, 19,857.87 and 8,424.78

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Solution

The fourth proportional to 14,389.62, 19,857.87 and 8,424.78 is: 11,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.62 : 19,857.87 = 8,424.78 : x
  2. Step 2: Convert to fraction form
    14,389.62/19,857.87 = 8,424.78/x
  3. Step 3: Cross multiply
    14,389.62x = 19,857.87 × 8,424.78
  4. Step 4: Simplify right side
    14,389.62x = 167,298,186.02
  5. Step 5: Solve for x
    x = 167,298,186.02/14,389.62
  6. Step 6: Final answer
    x = 11,626.31

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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.