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Finding the Fourth Proportional to 13,818.46, 19,069.44 and 7,530.82

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Solution

The fourth proportional to 13,818.46, 19,069.44 and 7,530.82 is: 10,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.46 : 19,069.44 = 7,530.82 : x
  2. Step 2: Convert to fraction form
    13,818.46/19,069.44 = 7,530.82/x
  3. Step 3: Cross multiply
    13,818.46x = 19,069.44 × 7,530.82
  4. Step 4: Simplify right side
    13,818.46x = 143,608,520.14
  5. Step 5: Solve for x
    x = 143,608,520.14/13,818.46
  6. Step 6: Final answer
    x = 10,392.51

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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.