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Finding the Fourth Proportional to 14,144.44, 19,519.95 and 7,856.82

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Solution

The fourth proportional to 14,144.44, 19,519.95 and 7,856.82 is: 10,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.44 : 19,519.95 = 7,856.82 : x
  2. Step 2: Convert to fraction form
    14,144.44/19,519.95 = 7,856.82/x
  3. Step 3: Cross multiply
    14,144.44x = 19,519.95 × 7,856.82
  4. Step 4: Simplify right side
    14,144.44x = 153,364,733.56
  5. Step 5: Solve for x
    x = 153,364,733.56/14,144.44
  6. Step 6: Final answer
    x = 10,842.76

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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.