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Finding the Fourth Proportional to 16,175.66, 24,255.79 and 5,644.40

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Solution

The fourth proportional to 16,175.66, 24,255.79 and 5,644.40 is: 8,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.66 : 24,255.79 = 5,644.40 : x
  2. Step 2: Convert to fraction form
    16,175.66/24,255.79 = 5,644.40/x
  3. Step 3: Cross multiply
    16,175.66x = 24,255.79 × 5,644.40
  4. Step 4: Simplify right side
    16,175.66x = 136,909,267.89
  5. Step 5: Solve for x
    x = 136,909,267.89/16,175.66
  6. Step 6: Final answer
    x = 8,463.91

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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.