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Finding the Fourth Proportional to 27,723.84, 38,265.71 and 23,240.49

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Solution

The fourth proportional to 27,723.84, 38,265.71 and 23,240.49 is: 32,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.84 : 38,265.71 = 23,240.49 : x
  2. Step 2: Convert to fraction form
    27,723.84/38,265.71 = 23,240.49/x
  3. Step 3: Cross multiply
    27,723.84x = 38,265.71 × 23,240.49
  4. Step 4: Simplify right side
    27,723.84x = 889,313,734.40
  5. Step 5: Solve for x
    x = 889,313,734.40/27,723.84
  6. Step 6: Final answer
    x = 32,077.58

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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.