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Finding the Fourth Proportional to 22,831.03, 31,506.20 and 12,759.23

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Solution

The fourth proportional to 22,831.03, 31,506.20 and 12,759.23 is: 17,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.03 : 31,506.20 = 12,759.23 : x
  2. Step 2: Convert to fraction form
    22,831.03/31,506.20 = 12,759.23/x
  3. Step 3: Cross multiply
    22,831.03x = 31,506.20 × 12,759.23
  4. Step 4: Simplify right side
    22,831.03x = 401,994,915.04
  5. Step 5: Solve for x
    x = 401,994,915.04/22,831.03
  6. Step 6: Final answer
    x = 17,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.