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Finding the Fourth Proportional to 22,491.28, 31,040.70 and 13,059.84

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Solution

The fourth proportional to 22,491.28, 31,040.70 and 13,059.84 is: 18,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.28 : 31,040.70 = 13,059.84 : x
  2. Step 2: Convert to fraction form
    22,491.28/31,040.70 = 13,059.84/x
  3. Step 3: Cross multiply
    22,491.28x = 31,040.70 × 13,059.84
  4. Step 4: Simplify right side
    22,491.28x = 405,386,716.38
  5. Step 5: Solve for x
    x = 405,386,716.38/22,491.28
  6. Step 6: Final answer
    x = 18,024.17

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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.