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Finding the Fourth Proportional to 13,846.92, 19,102.09 and 9,064.75

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Solution

The fourth proportional to 13,846.92, 19,102.09 and 9,064.75 is: 12,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.92 : 19,102.09 = 9,064.75 : x
  2. Step 2: Convert to fraction form
    13,846.92/19,102.09 = 9,064.75/x
  3. Step 3: Cross multiply
    13,846.92x = 19,102.09 × 9,064.75
  4. Step 4: Simplify right side
    13,846.92x = 173,155,670.33
  5. Step 5: Solve for x
    x = 173,155,670.33/13,846.92
  6. Step 6: Final answer
    x = 12,505.00

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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.