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Finding the Fourth Proportional to 14,178.72, 19,566.68 and 7,805.44

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Solution

The fourth proportional to 14,178.72, 19,566.68 and 7,805.44 is: 10,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.72 : 19,566.68 = 7,805.44 : x
  2. Step 2: Convert to fraction form
    14,178.72/19,566.68 = 7,805.44/x
  3. Step 3: Cross multiply
    14,178.72x = 19,566.68 × 7,805.44
  4. Step 4: Simplify right side
    14,178.72x = 152,726,546.74
  5. Step 5: Solve for x
    x = 152,726,546.74/14,178.72
  6. Step 6: Final answer
    x = 10,771.53

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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.