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Finding the Fourth Proportional to 24,457.21, 36,691.08 and 7,589.87

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Solution

The fourth proportional to 24,457.21, 36,691.08 and 7,589.87 is: 11,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.21 : 36,691.08 = 7,589.87 : x
  2. Step 2: Convert to fraction form
    24,457.21/36,691.08 = 7,589.87/x
  3. Step 3: Cross multiply
    24,457.21x = 36,691.08 × 7,589.87
  4. Step 4: Simplify right side
    24,457.21x = 278,480,527.36
  5. Step 5: Solve for x
    x = 278,480,527.36/24,457.21
  6. Step 6: Final answer
    x = 11,386.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.