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Finding the Fourth Proportional to 14,570.98, 21,850.92 and 5,209.27

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Solution

The fourth proportional to 14,570.98, 21,850.92 and 5,209.27 is: 7,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.98 : 21,850.92 = 5,209.27 : x
  2. Step 2: Convert to fraction form
    14,570.98/21,850.92 = 5,209.27/x
  3. Step 3: Cross multiply
    14,570.98x = 21,850.92 × 5,209.27
  4. Step 4: Simplify right side
    14,570.98x = 113,827,342.03
  5. Step 5: Solve for x
    x = 113,827,342.03/14,570.98
  6. Step 6: Final answer
    x = 7,811.92

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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.