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Finding the Fourth Proportional to 13,712.26, 18,923.26 and 8,410.00

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Solution

The fourth proportional to 13,712.26, 18,923.26 and 8,410.00 is: 11,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.26 : 18,923.26 = 8,410.00 : x
  2. Step 2: Convert to fraction form
    13,712.26/18,923.26 = 8,410.00/x
  3. Step 3: Cross multiply
    13,712.26x = 18,923.26 × 8,410.00
  4. Step 4: Simplify right side
    13,712.26x = 159,144,521.98
  5. Step 5: Solve for x
    x = 159,144,521.98/13,712.26
  6. Step 6: Final answer
    x = 11,606.01

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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.