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Finding the Fourth Proportional to 13,818.78, 19,069.92 and 7,531.14

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Solution

The fourth proportional to 13,818.78, 19,069.92 and 7,531.14 is: 10,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.78 : 19,069.92 = 7,531.14 : x
  2. Step 2: Convert to fraction form
    13,818.78/19,069.92 = 7,531.14/x
  3. Step 3: Cross multiply
    13,818.78x = 19,069.92 × 7,531.14
  4. Step 4: Simplify right side
    13,818.78x = 143,618,237.31
  5. Step 5: Solve for x
    x = 143,618,237.31/13,818.78
  6. Step 6: Final answer
    x = 10,392.98

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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.