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Finding the Fourth Proportional to 12,362.18, 18,538.27 and 7,675.25

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Solution

The fourth proportional to 12,362.18, 18,538.27 and 7,675.25 is: 11,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.18 : 18,538.27 = 7,675.25 : x
  2. Step 2: Convert to fraction form
    12,362.18/18,538.27 = 7,675.25/x
  3. Step 3: Cross multiply
    12,362.18x = 18,538.27 × 7,675.25
  4. Step 4: Simplify right side
    12,362.18x = 142,285,744.94
  5. Step 5: Solve for x
    x = 142,285,744.94/12,362.18
  6. Step 6: Final answer
    x = 11,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.