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Finding the Fourth Proportional to 21,151.50, 31,727.76 and 7,111.71

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Solution

The fourth proportional to 21,151.50, 31,727.76 and 7,111.71 is: 10,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.50 : 31,727.76 = 7,111.71 : x
  2. Step 2: Convert to fraction form
    21,151.50/31,727.76 = 7,111.71/x
  3. Step 3: Cross multiply
    21,151.50x = 31,727.76 × 7,111.71
  4. Step 4: Simplify right side
    21,151.50x = 225,638,628.07
  5. Step 5: Solve for x
    x = 225,638,628.07/21,151.50
  6. Step 6: Final answer
    x = 10,667.74

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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.