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Finding the Fourth Proportional to 14,307.78, 19,744.68 and 8,020.14

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Solution

The fourth proportional to 14,307.78, 19,744.68 and 8,020.14 is: 11,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.78 : 19,744.68 = 8,020.14 : x
  2. Step 2: Convert to fraction form
    14,307.78/19,744.68 = 8,020.14/x
  3. Step 3: Cross multiply
    14,307.78x = 19,744.68 × 8,020.14
  4. Step 4: Simplify right side
    14,307.78x = 158,355,097.86
  5. Step 5: Solve for x
    x = 158,355,097.86/14,307.78
  6. Step 6: Final answer
    x = 11,067.76

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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.