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Finding the Fourth Proportional to 12,014.88, 16,588.14 and 8,244.36

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Solution

The fourth proportional to 12,014.88, 16,588.14 and 8,244.36 is: 11,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.88 : 16,588.14 = 8,244.36 : x
  2. Step 2: Convert to fraction form
    12,014.88/16,588.14 = 8,244.36/x
  3. Step 3: Cross multiply
    12,014.88x = 16,588.14 × 8,244.36
  4. Step 4: Simplify right side
    12,014.88x = 136,758,597.89
  5. Step 5: Solve for x
    x = 136,758,597.89/12,014.88
  6. Step 6: Final answer
    x = 11,382.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.