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Finding the Fourth Proportional to 12,450.14, 18,678.54 and 5,430.72

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Solution

The fourth proportional to 12,450.14, 18,678.54 and 5,430.72 is: 8,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450.14 : 18,678.54 = 5,430.72 : x
  2. Step 2: Convert to fraction form
    12,450.14/18,678.54 = 5,430.72/x
  3. Step 3: Cross multiply
    12,450.14x = 18,678.54 × 5,430.72
  4. Step 4: Simplify right side
    12,450.14x = 101,437,920.75
  5. Step 5: Solve for x
    x = 101,437,920.75/12,450.14
  6. Step 6: Final answer
    x = 8,147.53

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