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Finding the Fourth Proportional to 26,724.96, 36,880.72 and 14,788

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Solution

The fourth proportional to 26,724.96, 36,880.72 and 14,788 is: 20,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724.96 : 36,880.72 = 14,788 : x
  2. Step 2: Convert to fraction form
    26,724.96/36,880.72 = 14,788/x
  3. Step 3: Cross multiply
    26,724.96x = 36,880.72 × 14,788
  4. Step 4: Simplify right side
    26,724.96x = 545,392,087.36
  5. Step 5: Solve for x
    x = 545,392,087.36/26,724.96
  6. Step 6: Final answer
    x = 20,407.59

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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.