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Finding the Fourth Proportional to 22,399.86, 30,906.22 and 14,432.50

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Solution

The fourth proportional to 22,399.86, 30,906.22 and 14,432.50 is: 19,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399.86 : 30,906.22 = 14,432.50 : x
  2. Step 2: Convert to fraction form
    22,399.86/30,906.22 = 14,432.50/x
  3. Step 3: Cross multiply
    22,399.86x = 30,906.22 × 14,432.50
  4. Step 4: Simplify right side
    22,399.86x = 446,054,020.15
  5. Step 5: Solve for x
    x = 446,054,020.15/22,399.86
  6. Step 6: Final answer
    x = 19,913.25

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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.