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Finding the Fourth Proportional to 14,242.81, 19,658.89 and 8,193.74

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Solution

The fourth proportional to 14,242.81, 19,658.89 and 8,193.74 is: 11,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.81 : 19,658.89 = 8,193.74 : x
  2. Step 2: Convert to fraction form
    14,242.81/19,658.89 = 8,193.74/x
  3. Step 3: Cross multiply
    14,242.81x = 19,658.89 × 8,193.74
  4. Step 4: Simplify right side
    14,242.81x = 161,079,878.92
  5. Step 5: Solve for x
    x = 161,079,878.92/14,242.81
  6. Step 6: Final answer
    x = 11,309.56

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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.