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Finding the Fourth Proportional to 17,683.38, 24,390.57 and 15,012.40

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Solution

The fourth proportional to 17,683.38, 24,390.57 and 15,012.40 is: 20,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.38 : 24,390.57 = 15,012.40 : x
  2. Step 2: Convert to fraction form
    17,683.38/24,390.57 = 15,012.40/x
  3. Step 3: Cross multiply
    17,683.38x = 24,390.57 × 15,012.40
  4. Step 4: Simplify right side
    17,683.38x = 366,160,993.07
  5. Step 5: Solve for x
    x = 366,160,993.07/17,683.38
  6. Step 6: Final answer
    x = 20,706.50

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Why These Related Problems?

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