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Finding the Fourth Proportional to 23,628.94, 35,434.59 and 7,831.06

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Solution

The fourth proportional to 23,628.94, 35,434.59 and 7,831.06 is: 11,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.94 : 35,434.59 = 7,831.06 : x
  2. Step 2: Convert to fraction form
    23,628.94/35,434.59 = 7,831.06/x
  3. Step 3: Cross multiply
    23,628.94x = 35,434.59 × 7,831.06
  4. Step 4: Simplify right side
    23,628.94x = 277,490,400.37
  5. Step 5: Solve for x
    x = 277,490,400.37/23,628.94
  6. Step 6: Final answer
    x = 11,743.67

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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.