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Finding the Fourth Proportional to 14,315.54, 19,760.82 and 8,349.08

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Solution

The fourth proportional to 14,315.54, 19,760.82 and 8,349.08 is: 11,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.54 : 19,760.82 = 8,349.08 : x
  2. Step 2: Convert to fraction form
    14,315.54/19,760.82 = 8,349.08/x
  3. Step 3: Cross multiply
    14,315.54x = 19,760.82 × 8,349.08
  4. Step 4: Simplify right side
    14,315.54x = 164,984,667.05
  5. Step 5: Solve for x
    x = 164,984,667.05/14,315.54
  6. Step 6: Final answer
    x = 11,524.87

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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.