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Finding the Fourth Proportional to 16,157.40, 24,218.17 and 6,794.64

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Solution

The fourth proportional to 16,157.40, 24,218.17 and 6,794.64 is: 10,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.40 : 24,218.17 = 6,794.64 : x
  2. Step 2: Convert to fraction form
    16,157.40/24,218.17 = 6,794.64/x
  3. Step 3: Cross multiply
    16,157.40x = 24,218.17 × 6,794.64
  4. Step 4: Simplify right side
    16,157.40x = 164,553,746.61
  5. Step 5: Solve for x
    x = 164,553,746.61/16,157.40
  6. Step 6: Final answer
    x = 10,184.42

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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.