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Finding the Fourth Proportional to 14,122, 21,175.40 and 4,758.90

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Solution

The fourth proportional to 14,122, 21,175.40 and 4,758.90 is: 7,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122 : 21,175.40 = 4,758.90 : x
  2. Step 2: Convert to fraction form
    14,122/21,175.40 = 4,758.90/x
  3. Step 3: Cross multiply
    14,122x = 21,175.40 × 4,758.90
  4. Step 4: Simplify right side
    14,122x = 100,771,611.06
  5. Step 5: Solve for x
    x = 100,771,611.06/14,122
  6. Step 6: Final answer
    x = 7,135.79

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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.