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Finding the Fourth Proportional to 14,849.28, 20,494.08 and 9,262.08

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Solution

The fourth proportional to 14,849.28, 20,494.08 and 9,262.08 is: 12,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.28 : 20,494.08 = 9,262.08 : x
  2. Step 2: Convert to fraction form
    14,849.28/20,494.08 = 9,262.08/x
  3. Step 3: Cross multiply
    14,849.28x = 20,494.08 × 9,262.08
  4. Step 4: Simplify right side
    14,849.28x = 189,817,808.49
  5. Step 5: Solve for x
    x = 189,817,808.49/14,849.28
  6. Step 6: Final answer
    x = 12,782.96

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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.