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Finding the Fourth Proportional to 15,756.72, 21,724.56 and 10,082.16

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Solution

The fourth proportional to 15,756.72, 21,724.56 and 10,082.16 is: 13,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.72 : 21,724.56 = 10,082.16 : x
  2. Step 2: Convert to fraction form
    15,756.72/21,724.56 = 10,082.16/x
  3. Step 3: Cross multiply
    15,756.72x = 21,724.56 × 10,082.16
  4. Step 4: Simplify right side
    15,756.72x = 219,030,489.85
  5. Step 5: Solve for x
    x = 219,030,489.85/15,756.72
  6. Step 6: Final answer
    x = 13,900.77

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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.