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Finding the Fourth Proportional to 16,034.99, 24,057.71 and 7,715.67

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Solution

The fourth proportional to 16,034.99, 24,057.71 and 7,715.67 is: 11,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.99 : 24,057.71 = 7,715.67 : x
  2. Step 2: Convert to fraction form
    16,034.99/24,057.71 = 7,715.67/x
  3. Step 3: Cross multiply
    16,034.99x = 24,057.71 × 7,715.67
  4. Step 4: Simplify right side
    16,034.99x = 185,621,312.74
  5. Step 5: Solve for x
    x = 185,621,312.74/16,034.99
  6. Step 6: Final answer
    x = 11,576.02

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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.