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Finding the Fourth Proportional to 24,305.16, 36,457.90 and 6,775.14

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Solution

The fourth proportional to 24,305.16, 36,457.90 and 6,775.14 is: 10,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.16 : 36,457.90 = 6,775.14 : x
  2. Step 2: Convert to fraction form
    24,305.16/36,457.90 = 6,775.14/x
  3. Step 3: Cross multiply
    24,305.16x = 36,457.90 × 6,775.14
  4. Step 4: Simplify right side
    24,305.16x = 247,007,496.39
  5. Step 5: Solve for x
    x = 247,007,496.39/24,305.16
  6. Step 6: Final answer
    x = 10,162.76

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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.