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Finding the Fourth Proportional to 17,756.65, 24,505.37 and 10,205.43

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Solution

The fourth proportional to 17,756.65, 24,505.37 and 10,205.43 is: 14,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.65 : 24,505.37 = 10,205.43 : x
  2. Step 2: Convert to fraction form
    17,756.65/24,505.37 = 10,205.43/x
  3. Step 3: Cross multiply
    17,756.65x = 24,505.37 × 10,205.43
  4. Step 4: Simplify right side
    17,756.65x = 250,087,838.16
  5. Step 5: Solve for x
    x = 250,087,838.16/17,756.65
  6. Step 6: Final answer
    x = 14,084.18

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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.