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Finding the Fourth Proportional to 24,095.53, 36,145.12 and 7,457.24

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Solution

The fourth proportional to 24,095.53, 36,145.12 and 7,457.24 is: 11,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.53 : 36,145.12 = 7,457.24 : x
  2. Step 2: Convert to fraction form
    24,095.53/36,145.12 = 7,457.24/x
  3. Step 3: Cross multiply
    24,095.53x = 36,145.12 × 7,457.24
  4. Step 4: Simplify right side
    24,095.53x = 269,542,906.39
  5. Step 5: Solve for x
    x = 269,542,906.39/24,095.53
  6. Step 6: Final answer
    x = 11,186.43

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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.