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Finding the Fourth Proportional to 16,097.35, 22,165.50 and 14,278.70

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Solution

The fourth proportional to 16,097.35, 22,165.50 and 14,278.70 is: 19,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.35 : 22,165.50 = 14,278.70 : x
  2. Step 2: Convert to fraction form
    16,097.35/22,165.50 = 14,278.70/x
  3. Step 3: Cross multiply
    16,097.35x = 22,165.50 × 14,278.70
  4. Step 4: Simplify right side
    16,097.35x = 316,494,524.85
  5. Step 5: Solve for x
    x = 316,494,524.85/16,097.35
  6. Step 6: Final answer
    x = 19,661.28

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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.