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Finding the Fourth Proportional to 14,255.84, 19,671.98 and 7,967

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Solution

The fourth proportional to 14,255.84, 19,671.98 and 7,967 is: 10,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.84 : 19,671.98 = 7,967 : x
  2. Step 2: Convert to fraction form
    14,255.84/19,671.98 = 7,967/x
  3. Step 3: Cross multiply
    14,255.84x = 19,671.98 × 7,967
  4. Step 4: Simplify right side
    14,255.84x = 156,726,664.66
  5. Step 5: Solve for x
    x = 156,726,664.66/14,255.84
  6. Step 6: Final answer
    x = 10,993.86

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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.