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Finding the Fourth Proportional to 14,041.89, 19,377.68 and 7,754.13

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Solution

The fourth proportional to 14,041.89, 19,377.68 and 7,754.13 is: 10,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.89 : 19,377.68 = 7,754.13 : x
  2. Step 2: Convert to fraction form
    14,041.89/19,377.68 = 7,754.13/x
  3. Step 3: Cross multiply
    14,041.89x = 19,377.68 × 7,754.13
  4. Step 4: Simplify right side
    14,041.89x = 150,257,049.82
  5. Step 5: Solve for x
    x = 150,257,049.82/14,041.89
  6. Step 6: Final answer
    x = 10,700.63

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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.