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Finding the Fourth Proportional to 24,361.47, 36,544.53 and 6,831.26

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Solution

The fourth proportional to 24,361.47, 36,544.53 and 6,831.26 is: 10,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.47 : 36,544.53 = 6,831.26 : x
  2. Step 2: Convert to fraction form
    24,361.47/36,544.53 = 6,831.26/x
  3. Step 3: Cross multiply
    24,361.47x = 36,544.53 × 6,831.26
  4. Step 4: Simplify right side
    24,361.47x = 249,645,003.29
  5. Step 5: Solve for x
    x = 249,645,003.29/24,361.47
  6. Step 6: Final answer
    x = 10,247.53

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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.