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Finding the Fourth Proportional to 12,713.86, 19,076.28 and 7,519.78

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Solution

The fourth proportional to 12,713.86, 19,076.28 and 7,519.78 is: 11,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.86 : 19,076.28 = 7,519.78 : x
  2. Step 2: Convert to fraction form
    12,713.86/19,076.28 = 7,519.78/x
  3. Step 3: Cross multiply
    12,713.86x = 19,076.28 × 7,519.78
  4. Step 4: Simplify right side
    12,713.86x = 143,449,428.82
  5. Step 5: Solve for x
    x = 143,449,428.82/12,713.86
  6. Step 6: Final answer
    x = 11,282.92

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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.