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Finding the Fourth Proportional to 18,257.14, 25,200.24 and 10,705.10

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Solution

The fourth proportional to 18,257.14, 25,200.24 and 10,705.10 is: 14,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.14 : 25,200.24 = 10,705.10 : x
  2. Step 2: Convert to fraction form
    18,257.14/25,200.24 = 10,705.10/x
  3. Step 3: Cross multiply
    18,257.14x = 25,200.24 × 10,705.10
  4. Step 4: Simplify right side
    18,257.14x = 269,771,089.22
  5. Step 5: Solve for x
    x = 269,771,089.22/18,257.14
  6. Step 6: Final answer
    x = 14,776.20

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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.