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Finding the Fourth Proportional to 14,846.64, 20,486.52 and 9,182.64

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Solution

The fourth proportional to 14,846.64, 20,486.52 and 9,182.64 is: 12,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.64 : 20,486.52 = 9,182.64 : x
  2. Step 2: Convert to fraction form
    14,846.64/20,486.52 = 9,182.64/x
  3. Step 3: Cross multiply
    14,846.64x = 20,486.52 × 9,182.64
  4. Step 4: Simplify right side
    14,846.64x = 188,120,338.01
  5. Step 5: Solve for x
    x = 188,120,338.01/14,846.64
  6. Step 6: Final answer
    x = 12,670.90

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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.