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Finding the Fourth Proportional to 14,722.86, 22,054.82 and 6,814.63

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Solution

The fourth proportional to 14,722.86, 22,054.82 and 6,814.63 is: 10,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.86 : 22,054.82 = 6,814.63 : x
  2. Step 2: Convert to fraction form
    14,722.86/22,054.82 = 6,814.63/x
  3. Step 3: Cross multiply
    14,722.86x = 22,054.82 × 6,814.63
  4. Step 4: Simplify right side
    14,722.86x = 150,295,431.51
  5. Step 5: Solve for x
    x = 150,295,431.51/14,722.86
  6. Step 6: Final answer
    x = 10,208.30

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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.