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Finding the Fourth Proportional to 16,082.10, 24,109.32 and 7,750.68

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Solution

The fourth proportional to 16,082.10, 24,109.32 and 7,750.68 is: 11,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.10 : 24,109.32 = 7,750.68 : x
  2. Step 2: Convert to fraction form
    16,082.10/24,109.32 = 7,750.68/x
  3. Step 3: Cross multiply
    16,082.10x = 24,109.32 × 7,750.68
  4. Step 4: Simplify right side
    16,082.10x = 186,863,624.34
  5. Step 5: Solve for x
    x = 186,863,624.34/16,082.10
  6. Step 6: Final answer
    x = 11,619.35

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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.