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Finding the Fourth Proportional to 13,530.90, 18,678.40 and 8,227.42

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Solution

The fourth proportional to 13,530.90, 18,678.40 and 8,227.42 is: 11,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.90 : 18,678.40 = 8,227.42 : x
  2. Step 2: Convert to fraction form
    13,530.90/18,678.40 = 8,227.42/x
  3. Step 3: Cross multiply
    13,530.90x = 18,678.40 × 8,227.42
  4. Step 4: Simplify right side
    13,530.90x = 153,675,041.73
  5. Step 5: Solve for x
    x = 153,675,041.73/13,530.90
  6. Step 6: Final answer
    x = 11,357.34

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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.