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Finding the Fourth Proportional to 14,067.64, 19,412.80 and 7,780.12

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Solution

The fourth proportional to 14,067.64, 19,412.80 and 7,780.12 is: 10,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.64 : 19,412.80 = 7,780.12 : x
  2. Step 2: Convert to fraction form
    14,067.64/19,412.80 = 7,780.12/x
  3. Step 3: Cross multiply
    14,067.64x = 19,412.80 × 7,780.12
  4. Step 4: Simplify right side
    14,067.64x = 151,033,913.54
  5. Step 5: Solve for x
    x = 151,033,913.54/14,067.64
  6. Step 6: Final answer
    x = 10,736.27

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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.