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Finding the Fourth Proportional to 12,174.30, 18,230.06 and 10,430.57

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Solution

The fourth proportional to 12,174.30, 18,230.06 and 10,430.57 is: 15,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.30 : 18,230.06 = 10,430.57 : x
  2. Step 2: Convert to fraction form
    12,174.30/18,230.06 = 10,430.57/x
  3. Step 3: Cross multiply
    12,174.30x = 18,230.06 × 10,430.57
  4. Step 4: Simplify right side
    12,174.30x = 190,149,988.59
  5. Step 5: Solve for x
    x = 190,149,988.59/12,174.30
  6. Step 6: Final answer
    x = 15,618.97

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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.