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Finding the Fourth Proportional to 23,886.16, 35,831.06 and 7,247.54

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Solution

The fourth proportional to 23,886.16, 35,831.06 and 7,247.54 is: 10,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.16 : 35,831.06 = 7,247.54 : x
  2. Step 2: Convert to fraction form
    23,886.16/35,831.06 = 7,247.54/x
  3. Step 3: Cross multiply
    23,886.16x = 35,831.06 × 7,247.54
  4. Step 4: Simplify right side
    23,886.16x = 259,687,040.59
  5. Step 5: Solve for x
    x = 259,687,040.59/23,886.16
  6. Step 6: Final answer
    x = 10,871.86

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Why These Related Problems?

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