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Finding the Fourth Proportional to 14,833.98, 20,464.38 and 8,862.66

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Solution

The fourth proportional to 14,833.98, 20,464.38 and 8,862.66 is: 12,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.98 : 20,464.38 = 8,862.66 : x
  2. Step 2: Convert to fraction form
    14,833.98/20,464.38 = 8,862.66/x
  3. Step 3: Cross multiply
    14,833.98x = 20,464.38 × 8,862.66
  4. Step 4: Simplify right side
    14,833.98x = 181,368,842.05
  5. Step 5: Solve for x
    x = 181,368,842.05/14,833.98
  6. Step 6: Final answer
    x = 12,226.58

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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.