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Finding the Fourth Proportional to 14,147.72, 19,527.36 and 8,182.84

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Solution

The fourth proportional to 14,147.72, 19,527.36 and 8,182.84 is: 11,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.72 : 19,527.36 = 8,182.84 : x
  2. Step 2: Convert to fraction form
    14,147.72/19,527.36 = 8,182.84/x
  3. Step 3: Cross multiply
    14,147.72x = 19,527.36 × 8,182.84
  4. Step 4: Simplify right side
    14,147.72x = 159,789,262.50
  5. Step 5: Solve for x
    x = 159,789,262.50/14,147.72
  6. Step 6: Final answer
    x = 11,294.35

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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.