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Finding the Fourth Proportional to 14,671.09, 21,998.67 and 5,178.66

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Solution

The fourth proportional to 14,671.09, 21,998.67 and 5,178.66 is: 7,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.09 : 21,998.67 = 5,178.66 : x
  2. Step 2: Convert to fraction form
    14,671.09/21,998.67 = 5,178.66/x
  3. Step 3: Cross multiply
    14,671.09x = 21,998.67 × 5,178.66
  4. Step 4: Simplify right side
    14,671.09x = 113,923,522.39
  5. Step 5: Solve for x
    x = 113,923,522.39/14,671.09
  6. Step 6: Final answer
    x = 7,765.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.