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Finding the Fourth Proportional to 22,527.74, 31,092.54 and 13,576.52

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Solution

The fourth proportional to 22,527.74, 31,092.54 and 13,576.52 is: 18,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.74 : 31,092.54 = 13,576.52 : x
  2. Step 2: Convert to fraction form
    22,527.74/31,092.54 = 13,576.52/x
  3. Step 3: Cross multiply
    22,527.74x = 31,092.54 × 13,576.52
  4. Step 4: Simplify right side
    22,527.74x = 422,128,491.16
  5. Step 5: Solve for x
    x = 422,128,491.16/22,527.74
  6. Step 6: Final answer
    x = 18,738.16

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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.