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Finding the Fourth Proportional to 14,197.97, 19,601.06 and 8,534.12

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Solution

The fourth proportional to 14,197.97, 19,601.06 and 8,534.12 is: 11,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.97 : 19,601.06 = 8,534.12 : x
  2. Step 2: Convert to fraction form
    14,197.97/19,601.06 = 8,534.12/x
  3. Step 3: Cross multiply
    14,197.97x = 19,601.06 × 8,534.12
  4. Step 4: Simplify right side
    14,197.97x = 167,277,657.49
  5. Step 5: Solve for x
    x = 167,277,657.49/14,197.97
  6. Step 6: Final answer
    x = 11,781.80

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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.