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Finding the Fourth Proportional to 12,264.36, 16,924.86 and 6,675.36

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Solution

The fourth proportional to 12,264.36, 16,924.86 and 6,675.36 is: 9,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.36 : 16,924.86 = 6,675.36 : x
  2. Step 2: Convert to fraction form
    12,264.36/16,924.86 = 6,675.36/x
  3. Step 3: Cross multiply
    12,264.36x = 16,924.86 × 6,675.36
  4. Step 4: Simplify right side
    12,264.36x = 112,979,533.45
  5. Step 5: Solve for x
    x = 112,979,533.45/12,264.36
  6. Step 6: Final answer
    x = 9,212.02

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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.