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Finding the Fourth Proportional to 12,011.51, 16,571.10 and 8,026.31

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Solution

The fourth proportional to 12,011.51, 16,571.10 and 8,026.31 is: 11,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.51 : 16,571.10 = 8,026.31 : x
  2. Step 2: Convert to fraction form
    12,011.51/16,571.10 = 8,026.31/x
  3. Step 3: Cross multiply
    12,011.51x = 16,571.10 × 8,026.31
  4. Step 4: Simplify right side
    12,011.51x = 133,004,702.79
  5. Step 5: Solve for x
    x = 133,004,702.79/12,011.51
  6. Step 6: Final answer
    x = 11,073.11

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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.