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Finding the Fourth Proportional to 16,126.46, 24,199.10 and 6,765.69

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Solution

The fourth proportional to 16,126.46, 24,199.10 and 6,765.69 is: 10,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.46 : 24,199.10 = 6,765.69 : x
  2. Step 2: Convert to fraction form
    16,126.46/24,199.10 = 6,765.69/x
  3. Step 3: Cross multiply
    16,126.46x = 24,199.10 × 6,765.69
  4. Step 4: Simplify right side
    16,126.46x = 163,723,575.05
  5. Step 5: Solve for x
    x = 163,723,575.05/16,126.46
  6. Step 6: Final answer
    x = 10,152.48

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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.