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Finding the Fourth Proportional to 16,602.10, 24,909.83 and 6,742.15

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Solution

The fourth proportional to 16,602.10, 24,909.83 and 6,742.15 is: 10,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.10 : 24,909.83 = 6,742.15 : x
  2. Step 2: Convert to fraction form
    16,602.10/24,909.83 = 6,742.15/x
  3. Step 3: Cross multiply
    16,602.10x = 24,909.83 × 6,742.15
  4. Step 4: Simplify right side
    16,602.10x = 167,945,776.62
  5. Step 5: Solve for x
    x = 167,945,776.62/16,602.10
  6. Step 6: Final answer
    x = 10,115.94

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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.