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Finding the Fourth Proportional to 14,517, 21,778.29 and 4,656.42

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Solution

The fourth proportional to 14,517, 21,778.29 and 4,656.42 is: 6,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 21,778.29 = 4,656.42 : x
  2. Step 2: Convert to fraction form
    14,517/21,778.29 = 4,656.42/x
  3. Step 3: Cross multiply
    14,517x = 21,778.29 × 4,656.42
  4. Step 4: Simplify right side
    14,517x = 101,408,865.12
  5. Step 5: Solve for x
    x = 101,408,865.12/14,517
  6. Step 6: Final answer
    x = 6,985.52

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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.