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Finding the Fourth Proportional to 17,826.64, 26,746.02 and 6,736.48

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Solution

The fourth proportional to 17,826.64, 26,746.02 and 6,736.48 is: 10,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.64 : 26,746.02 = 6,736.48 : x
  2. Step 2: Convert to fraction form
    17,826.64/26,746.02 = 6,736.48/x
  3. Step 3: Cross multiply
    17,826.64x = 26,746.02 × 6,736.48
  4. Step 4: Simplify right side
    17,826.64x = 180,174,028.81
  5. Step 5: Solve for x
    x = 180,174,028.81/17,826.64
  6. Step 6: Final answer
    x = 10,107.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.