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Finding the Fourth Proportional to 25,589.86, 35,321.61 and 16,164.70

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Solution

The fourth proportional to 25,589.86, 35,321.61 and 16,164.70 is: 22,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.86 : 35,321.61 = 16,164.70 : x
  2. Step 2: Convert to fraction form
    25,589.86/35,321.61 = 16,164.70/x
  3. Step 3: Cross multiply
    25,589.86x = 35,321.61 × 16,164.70
  4. Step 4: Simplify right side
    25,589.86x = 570,963,229.17
  5. Step 5: Solve for x
    x = 570,963,229.17/25,589.86
  6. Step 6: Final answer
    x = 22,312.09

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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.