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Finding the Fourth Proportional to 18,705.65, 25,812.99 and 10,207.56

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Solution

The fourth proportional to 18,705.65, 25,812.99 and 10,207.56 is: 14,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.65 : 25,812.99 = 10,207.56 : x
  2. Step 2: Convert to fraction form
    18,705.65/25,812.99 = 10,207.56/x
  3. Step 3: Cross multiply
    18,705.65x = 25,812.99 × 10,207.56
  4. Step 4: Simplify right side
    18,705.65x = 263,487,644.20
  5. Step 5: Solve for x
    x = 263,487,644.20/18,705.65
  6. Step 6: Final answer
    x = 14,085.99

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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.