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Finding the Fourth Proportional to 23,047.96, 31,797.52 and 13,484.80

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Solution

The fourth proportional to 23,047.96, 31,797.52 and 13,484.80 is: 18,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.96 : 31,797.52 = 13,484.80 : x
  2. Step 2: Convert to fraction form
    23,047.96/31,797.52 = 13,484.80/x
  3. Step 3: Cross multiply
    23,047.96x = 31,797.52 × 13,484.80
  4. Step 4: Simplify right side
    23,047.96x = 428,783,197.70
  5. Step 5: Solve for x
    x = 428,783,197.70/23,047.96
  6. Step 6: Final answer
    x = 18,603.95

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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.