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Finding the Fourth Proportional to 24,082.87, 36,128.16 and 7,438.99

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Solution

The fourth proportional to 24,082.87, 36,128.16 and 7,438.99 is: 11,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.87 : 36,128.16 = 7,438.99 : x
  2. Step 2: Convert to fraction form
    24,082.87/36,128.16 = 7,438.99/x
  3. Step 3: Cross multiply
    24,082.87x = 36,128.16 × 7,438.99
  4. Step 4: Simplify right side
    24,082.87x = 268,756,803.12
  5. Step 5: Solve for x
    x = 268,756,803.12/24,082.87
  6. Step 6: Final answer
    x = 11,159.67

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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.