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Finding the Fourth Proportional to 23,887.64, 35,831.54 and 7,247.81

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Solution

The fourth proportional to 23,887.64, 35,831.54 and 7,247.81 is: 10,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.64 : 35,831.54 = 7,247.81 : x
  2. Step 2: Convert to fraction form
    23,887.64/35,831.54 = 7,247.81/x
  3. Step 3: Cross multiply
    23,887.64x = 35,831.54 × 7,247.81
  4. Step 4: Simplify right side
    23,887.64x = 259,700,281.24
  5. Step 5: Solve for x
    x = 259,700,281.24/23,887.64
  6. Step 6: Final answer
    x = 10,871.74

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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.