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Finding the Fourth Proportional to 27,834.83, 38,390.87 and 23,960.80

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Solution

The fourth proportional to 27,834.83, 38,390.87 and 23,960.80 is: 33,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.83 : 38,390.87 = 23,960.80 : x
  2. Step 2: Convert to fraction form
    27,834.83/38,390.87 = 23,960.80/x
  3. Step 3: Cross multiply
    27,834.83x = 38,390.87 × 23,960.80
  4. Step 4: Simplify right side
    27,834.83x = 919,875,957.90
  5. Step 5: Solve for x
    x = 919,875,957.90/27,834.83
  6. Step 6: Final answer
    x = 33,047.66

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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.