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Finding the Fourth Proportional to 18,252.50, 25,188.48 and 9,869

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Solution

The fourth proportional to 18,252.50, 25,188.48 and 9,869 is: 13,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,252.50 : 25,188.48 = 9,869 : x
  2. Step 2: Convert to fraction form
    18,252.50/25,188.48 = 9,869/x
  3. Step 3: Cross multiply
    18,252.50x = 25,188.48 × 9,869
  4. Step 4: Simplify right side
    18,252.50x = 248,585,109.12
  5. Step 5: Solve for x
    x = 248,585,109.12/18,252.50
  6. Step 6: Final answer
    x = 13,619.24

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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.