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Finding the Fourth Proportional to 14,917.74, 22,383.09 and 13,278.30

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Solution

The fourth proportional to 14,917.74, 22,383.09 and 13,278.30 is: 19,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.74 : 22,383.09 = 13,278.30 : x
  2. Step 2: Convert to fraction form
    14,917.74/22,383.09 = 13,278.30/x
  3. Step 3: Cross multiply
    14,917.74x = 22,383.09 × 13,278.30
  4. Step 4: Simplify right side
    14,917.74x = 297,209,383.95
  5. Step 5: Solve for x
    x = 297,209,383.95/14,917.74
  6. Step 6: Final answer
    x = 19,923.22

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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.