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Finding the Fourth Proportional to 14,456.16, 21,681 and 8,614.44

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Solution

The fourth proportional to 14,456.16, 21,681 and 8,614.44 is: 12,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.16 : 21,681 = 8,614.44 : x
  2. Step 2: Convert to fraction form
    14,456.16/21,681 = 8,614.44/x
  3. Step 3: Cross multiply
    14,456.16x = 21,681 × 8,614.44
  4. Step 4: Simplify right side
    14,456.16x = 186,769,673.64
  5. Step 5: Solve for x
    x = 186,769,673.64/14,456.16
  6. Step 6: Final answer
    x = 12,919.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.