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Finding the Fourth Proportional to 16,164.58, 24,242.82 and 11,470.90

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Solution

The fourth proportional to 16,164.58, 24,242.82 and 11,470.90 is: 17,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.58 : 24,242.82 = 11,470.90 : x
  2. Step 2: Convert to fraction form
    16,164.58/24,242.82 = 11,470.90/x
  3. Step 3: Cross multiply
    16,164.58x = 24,242.82 × 11,470.90
  4. Step 4: Simplify right side
    16,164.58x = 278,086,963.94
  5. Step 5: Solve for x
    x = 278,086,963.94/16,164.58
  6. Step 6: Final answer
    x = 17,203.48

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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.