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Finding the Fourth Proportional to 20,082.50, 27,726.84 and 12,915.62

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Solution

The fourth proportional to 20,082.50, 27,726.84 and 12,915.62 is: 17,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.50 : 27,726.84 = 12,915.62 : x
  2. Step 2: Convert to fraction form
    20,082.50/27,726.84 = 12,915.62/x
  3. Step 3: Cross multiply
    20,082.50x = 27,726.84 × 12,915.62
  4. Step 4: Simplify right side
    20,082.50x = 358,109,329.24
  5. Step 5: Solve for x
    x = 358,109,329.24/20,082.50
  6. Step 6: Final answer
    x = 17,831.91

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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.