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Finding the Fourth Proportional to 14,616.66, 21,932.19 and 6,826.02

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Solution

The fourth proportional to 14,616.66, 21,932.19 and 6,826.02 is: 10,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.66 : 21,932.19 = 6,826.02 : x
  2. Step 2: Convert to fraction form
    14,616.66/21,932.19 = 6,826.02/x
  3. Step 3: Cross multiply
    14,616.66x = 21,932.19 × 6,826.02
  4. Step 4: Simplify right side
    14,616.66x = 149,709,567.58
  5. Step 5: Solve for x
    x = 149,709,567.58/14,616.66
  6. Step 6: Final answer
    x = 10,242.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.