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Finding the Fourth Proportional to 24,989.32, 37,489.65 and 7,457.68

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Solution

The fourth proportional to 24,989.32, 37,489.65 and 7,457.68 is: 11,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,989.32 : 37,489.65 = 7,457.68 : x
  2. Step 2: Convert to fraction form
    24,989.32/37,489.65 = 7,457.68/x
  3. Step 3: Cross multiply
    24,989.32x = 37,489.65 × 7,457.68
  4. Step 4: Simplify right side
    24,989.32x = 279,585,813.01
  5. Step 5: Solve for x
    x = 279,585,813.01/24,989.32
  6. Step 6: Final answer
    x = 11,188.21

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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.