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Finding the Fourth Proportional to 12,228.74, 16,889.52 and 8,243.00

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Solution

The fourth proportional to 12,228.74, 16,889.52 and 8,243.00 is: 11,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.74 : 16,889.52 = 8,243.00 : x
  2. Step 2: Convert to fraction form
    12,228.74/16,889.52 = 8,243.00/x
  3. Step 3: Cross multiply
    12,228.74x = 16,889.52 × 8,243.00
  4. Step 4: Simplify right side
    12,228.74x = 139,220,386.50
  5. Step 5: Solve for x
    x = 139,220,386.50/12,228.74
  6. Step 6: Final answer
    x = 11,384.69

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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.