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Finding the Fourth Proportional to 23,831.88, 35,746.92 and 7,191.46

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Solution

The fourth proportional to 23,831.88, 35,746.92 and 7,191.46 is: 10,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.88 : 35,746.92 = 7,191.46 : x
  2. Step 2: Convert to fraction form
    23,831.88/35,746.92 = 7,191.46/x
  3. Step 3: Cross multiply
    23,831.88x = 35,746.92 × 7,191.46
  4. Step 4: Simplify right side
    23,831.88x = 257,072,545.30
  5. Step 5: Solve for x
    x = 257,072,545.30/23,831.88
  6. Step 6: Final answer
    x = 10,786.92

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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.