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Finding the Fourth Proportional to 14,842.08, 20,485.44 and 9,252

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Solution

The fourth proportional to 14,842.08, 20,485.44 and 9,252 is: 12,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.08 : 20,485.44 = 9,252 : x
  2. Step 2: Convert to fraction form
    14,842.08/20,485.44 = 9,252/x
  3. Step 3: Cross multiply
    14,842.08x = 20,485.44 × 9,252
  4. Step 4: Simplify right side
    14,842.08x = 189,531,290.88
  5. Step 5: Solve for x
    x = 189,531,290.88/14,842.08
  6. Step 6: Final answer
    x = 12,769.86

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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.