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Finding the Fourth Proportional to 16,464, 24,696.27 and 4,778.40

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Solution

The fourth proportional to 16,464, 24,696.27 and 4,778.40 is: 7,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 24,696.27 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    16,464/24,696.27 = 4,778.40/x
  3. Step 3: Cross multiply
    16,464x = 24,696.27 × 4,778.40
  4. Step 4: Simplify right side
    16,464x = 118,008,656.57
  5. Step 5: Solve for x
    x = 118,008,656.57/16,464
  6. Step 6: Final answer
    x = 7,167.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.