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Finding the Fourth Proportional to 27,258.36, 40,874.82 and 9,724.08

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Solution

The fourth proportional to 27,258.36, 40,874.82 and 9,724.08 is: 14,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.36 : 40,874.82 = 9,724.08 : x
  2. Step 2: Convert to fraction form
    27,258.36/40,874.82 = 9,724.08/x
  3. Step 3: Cross multiply
    27,258.36x = 40,874.82 × 9,724.08
  4. Step 4: Simplify right side
    27,258.36x = 397,470,019.67
  5. Step 5: Solve for x
    x = 397,470,019.67/27,258.36
  6. Step 6: Final answer
    x = 14,581.58

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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.