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Finding the Fourth Proportional to 20,488.16, 30,683.03 and 11,696.42

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Solution

The fourth proportional to 20,488.16, 30,683.03 and 11,696.42 is: 17,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.16 : 30,683.03 = 11,696.42 : x
  2. Step 2: Convert to fraction form
    20,488.16/30,683.03 = 11,696.42/x
  3. Step 3: Cross multiply
    20,488.16x = 30,683.03 × 11,696.42
  4. Step 4: Simplify right side
    20,488.16x = 358,881,393.86
  5. Step 5: Solve for x
    x = 358,881,393.86/20,488.16
  6. Step 6: Final answer
    x = 17,516.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.