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Finding the Fourth Proportional to 26,838.72, 40,258.08 and 7,118.82

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Solution

The fourth proportional to 26,838.72, 40,258.08 and 7,118.82 is: 10,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.72 : 40,258.08 = 7,118.82 : x
  2. Step 2: Convert to fraction form
    26,838.72/40,258.08 = 7,118.82/x
  3. Step 3: Cross multiply
    26,838.72x = 40,258.08 × 7,118.82
  4. Step 4: Simplify right side
    26,838.72x = 286,590,025.07
  5. Step 5: Solve for x
    x = 286,590,025.07/26,838.72
  6. Step 6: Final answer
    x = 10,678.23

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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.