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Finding the Fourth Proportional to 12,013.19, 16,573.43 and 8,027.99

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Solution

The fourth proportional to 12,013.19, 16,573.43 and 8,027.99 is: 11,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.19 : 16,573.43 = 8,027.99 : x
  2. Step 2: Convert to fraction form
    12,013.19/16,573.43 = 8,027.99/x
  3. Step 3: Cross multiply
    12,013.19x = 16,573.43 × 8,027.99
  4. Step 4: Simplify right side
    12,013.19x = 133,051,330.31
  5. Step 5: Solve for x
    x = 133,051,330.31/12,013.19
  6. Step 6: Final answer
    x = 11,075.44

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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.