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Finding the Fourth Proportional to 14,079.77, 19,434.94 and 8,113.82

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Solution

The fourth proportional to 14,079.77, 19,434.94 and 8,113.82 is: 11,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,079.77 : 19,434.94 = 8,113.82 : x
  2. Step 2: Convert to fraction form
    14,079.77/19,434.94 = 8,113.82/x
  3. Step 3: Cross multiply
    14,079.77x = 19,434.94 × 8,113.82
  4. Step 4: Simplify right side
    14,079.77x = 157,691,487.41
  5. Step 5: Solve for x
    x = 157,691,487.41/14,079.77
  6. Step 6: Final answer
    x = 11,199.86

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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.