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Finding the Fourth Proportional to 13,803.84, 19,049.40 and 7,516.44

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Solution

The fourth proportional to 13,803.84, 19,049.40 and 7,516.44 is: 10,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.84 : 19,049.40 = 7,516.44 : x
  2. Step 2: Convert to fraction form
    13,803.84/19,049.40 = 7,516.44/x
  3. Step 3: Cross multiply
    13,803.84x = 19,049.40 × 7,516.44
  4. Step 4: Simplify right side
    13,803.84x = 143,183,672.14
  5. Step 5: Solve for x
    x = 143,183,672.14/13,803.84
  6. Step 6: Final answer
    x = 10,372.74

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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.