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Finding the Fourth Proportional to 27,395.80, 37,771.94 and 22,865

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Solution

The fourth proportional to 27,395.80, 37,771.94 and 22,865 is: 31,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,395.80 : 37,771.94 = 22,865 : x
  2. Step 2: Convert to fraction form
    27,395.80/37,771.94 = 22,865/x
  3. Step 3: Cross multiply
    27,395.80x = 37,771.94 × 22,865
  4. Step 4: Simplify right side
    27,395.80x = 863,655,408.10
  5. Step 5: Solve for x
    x = 863,655,408.10/27,395.80
  6. Step 6: Final answer
    x = 31,525.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.