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Finding the Fourth Proportional to 27,053.40, 40,583.34 and 11,469

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Solution

The fourth proportional to 27,053.40, 40,583.34 and 11,469 is: 17,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.40 : 40,583.34 = 11,469 : x
  2. Step 2: Convert to fraction form
    27,053.40/40,583.34 = 11,469/x
  3. Step 3: Cross multiply
    27,053.40x = 40,583.34 × 11,469
  4. Step 4: Simplify right side
    27,053.40x = 465,450,326.46
  5. Step 5: Solve for x
    x = 465,450,326.46/27,053.40
  6. Step 6: Final answer
    x = 17,204.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.