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Finding the Fourth Proportional to 27,212.18, 40,834.03 and 11,415.81

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Solution

The fourth proportional to 27,212.18, 40,834.03 and 11,415.81 is: 17,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.18 : 40,834.03 = 11,415.81 : x
  2. Step 2: Convert to fraction form
    27,212.18/40,834.03 = 11,415.81/x
  3. Step 3: Cross multiply
    27,212.18x = 40,834.03 × 11,415.81
  4. Step 4: Simplify right side
    27,212.18x = 466,153,528.01
  5. Step 5: Solve for x
    x = 466,153,528.01/27,212.18
  6. Step 6: Final answer
    x = 17,130.33

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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.