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Finding the Fourth Proportional to 20,889.92, 28,828.38 and 11,457.86

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Solution

The fourth proportional to 20,889.92, 28,828.38 and 11,457.86 is: 15,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889.92 : 28,828.38 = 11,457.86 : x
  2. Step 2: Convert to fraction form
    20,889.92/28,828.38 = 11,457.86/x
  3. Step 3: Cross multiply
    20,889.92x = 28,828.38 × 11,457.86
  4. Step 4: Simplify right side
    20,889.92x = 330,311,542.07
  5. Step 5: Solve for x
    x = 330,311,542.07/20,889.92
  6. Step 6: Final answer
    x = 15,812.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.