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Finding the Fourth Proportional to 14,174.72, 19,563.82 and 9,386.22

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Solution

The fourth proportional to 14,174.72, 19,563.82 and 9,386.22 is: 12,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.72 : 19,563.82 = 9,386.22 : x
  2. Step 2: Convert to fraction form
    14,174.72/19,563.82 = 9,386.22/x
  3. Step 3: Cross multiply
    14,174.72x = 19,563.82 × 9,386.22
  4. Step 4: Simplify right side
    14,174.72x = 183,630,318.56
  5. Step 5: Solve for x
    x = 183,630,318.56/14,174.72
  6. Step 6: Final answer
    x = 12,954.78

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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.