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Finding the Fourth Proportional to 14,420.99, 21,614.51 and 6,514.27

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Solution

The fourth proportional to 14,420.99, 21,614.51 and 6,514.27 is: 9,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.99 : 21,614.51 = 6,514.27 : x
  2. Step 2: Convert to fraction form
    14,420.99/21,614.51 = 6,514.27/x
  3. Step 3: Cross multiply
    14,420.99x = 21,614.51 × 6,514.27
  4. Step 4: Simplify right side
    14,420.99x = 140,802,754.06
  5. Step 5: Solve for x
    x = 140,802,754.06/14,420.99
  6. Step 6: Final answer
    x = 9,763.74

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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.