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Finding the Fourth Proportional to 22,646.86, 33,970.28 and 14,853.86

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Solution

The fourth proportional to 22,646.86, 33,970.28 and 14,853.86 is: 22,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.86 : 33,970.28 = 14,853.86 : x
  2. Step 2: Convert to fraction form
    22,646.86/33,970.28 = 14,853.86/x
  3. Step 3: Cross multiply
    22,646.86x = 33,970.28 × 14,853.86
  4. Step 4: Simplify right side
    22,646.86x = 504,589,783.28
  5. Step 5: Solve for x
    x = 504,589,783.28/22,646.86
  6. Step 6: Final answer
    x = 22,280.78

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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.