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Finding the Fourth Proportional to 14,570.39, 21,850.22 and 5,207.88

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Solution

The fourth proportional to 14,570.39, 21,850.22 and 5,207.88 is: 7,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.39 : 21,850.22 = 5,207.88 : x
  2. Step 2: Convert to fraction form
    14,570.39/21,850.22 = 5,207.88/x
  3. Step 3: Cross multiply
    14,570.39x = 21,850.22 × 5,207.88
  4. Step 4: Simplify right side
    14,570.39x = 113,793,323.73
  5. Step 5: Solve for x
    x = 113,793,323.73/14,570.39
  6. Step 6: Final answer
    x = 7,809.90

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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.