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Finding the Fourth Proportional to 13,225.14, 18,251.88 and 7,257.98

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Solution

The fourth proportional to 13,225.14, 18,251.88 and 7,257.98 is: 10,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.14 : 18,251.88 = 7,257.98 : x
  2. Step 2: Convert to fraction form
    13,225.14/18,251.88 = 7,257.98/x
  3. Step 3: Cross multiply
    13,225.14x = 18,251.88 × 7,257.98
  4. Step 4: Simplify right side
    13,225.14x = 132,471,780.00
  5. Step 5: Solve for x
    x = 132,471,780.00/13,225.14
  6. Step 6: Final answer
    x = 10,016.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.