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Finding the Fourth Proportional to 16,876.36, 23,288.36 and 10,164.16

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Solution

The fourth proportional to 16,876.36, 23,288.36 and 10,164.16 is: 14,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.36 : 23,288.36 = 10,164.16 : x
  2. Step 2: Convert to fraction form
    16,876.36/23,288.36 = 10,164.16/x
  3. Step 3: Cross multiply
    16,876.36x = 23,288.36 × 10,164.16
  4. Step 4: Simplify right side
    16,876.36x = 236,706,617.18
  5. Step 5: Solve for x
    x = 236,706,617.18/16,876.36
  6. Step 6: Final answer
    x = 14,025.93

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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.