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Finding the Fourth Proportional to 22,259.86, 30,739.42 and 14,315.88

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Solution

The fourth proportional to 22,259.86, 30,739.42 and 14,315.88 is: 19,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.86 : 30,739.42 = 14,315.88 : x
  2. Step 2: Convert to fraction form
    22,259.86/30,739.42 = 14,315.88/x
  3. Step 3: Cross multiply
    22,259.86x = 30,739.42 × 14,315.88
  4. Step 4: Simplify right side
    22,259.86x = 440,061,847.99
  5. Step 5: Solve for x
    x = 440,061,847.99/22,259.86
  6. Step 6: Final answer
    x = 19,769.30

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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.