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Finding the Fourth Proportional to 14,243.81, 19,658.28 and 8,581.50

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Solution

The fourth proportional to 14,243.81, 19,658.28 and 8,581.50 is: 11,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.81 : 19,658.28 = 8,581.50 : x
  2. Step 2: Convert to fraction form
    14,243.81/19,658.28 = 8,581.50/x
  3. Step 3: Cross multiply
    14,243.81x = 19,658.28 × 8,581.50
  4. Step 4: Simplify right side
    14,243.81x = 168,697,529.82
  5. Step 5: Solve for x
    x = 168,697,529.82/14,243.81
  6. Step 6: Final answer
    x = 11,843.57

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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.