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Finding the Fourth Proportional to 14,575.39, 21,857.72 and 5,212.87

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Solution

The fourth proportional to 14,575.39, 21,857.72 and 5,212.87 is: 7,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.39 : 21,857.72 = 5,212.87 : x
  2. Step 2: Convert to fraction form
    14,575.39/21,857.72 = 5,212.87/x
  3. Step 3: Cross multiply
    14,575.39x = 21,857.72 × 5,212.87
  4. Step 4: Simplify right side
    14,575.39x = 113,941,372.15
  5. Step 5: Solve for x
    x = 113,941,372.15/14,575.39
  6. Step 6: Final answer
    x = 7,817.38

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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.