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Finding the Fourth Proportional to 12,174.69, 18,237.43 and 9,391.74

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Solution

The fourth proportional to 12,174.69, 18,237.43 and 9,391.74 is: 14,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.69 : 18,237.43 = 9,391.74 : x
  2. Step 2: Convert to fraction form
    12,174.69/18,237.43 = 9,391.74/x
  3. Step 3: Cross multiply
    12,174.69x = 18,237.43 × 9,391.74
  4. Step 4: Simplify right side
    12,174.69x = 171,281,200.83
  5. Step 5: Solve for x
    x = 171,281,200.83/12,174.69
  6. Step 6: Final answer
    x = 14,068.63

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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.