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Finding the Fourth Proportional to 20,082.76, 30,085.24 and 9,701.80

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Solution

The fourth proportional to 20,082.76, 30,085.24 and 9,701.80 is: 14,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.76 : 30,085.24 = 9,701.80 : x
  2. Step 2: Convert to fraction form
    20,082.76/30,085.24 = 9,701.80/x
  3. Step 3: Cross multiply
    20,082.76x = 30,085.24 × 9,701.80
  4. Step 4: Simplify right side
    20,082.76x = 291,880,981.43
  5. Step 5: Solve for x
    x = 291,880,981.43/20,082.76
  6. Step 6: Final answer
    x = 14,533.91

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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.