Home / 15,722.84-23,571-6,831.44

Finding the Fourth Proportional to 15,722.84, 23,571 and 6,831.44

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Solution

The fourth proportional to 15,722.84, 23,571 and 6,831.44 is: 10,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.84 : 23,571 = 6,831.44 : x
  2. Step 2: Convert to fraction form
    15,722.84/23,571 = 6,831.44/x
  3. Step 3: Cross multiply
    15,722.84x = 23,571 × 6,831.44
  4. Step 4: Simplify right side
    15,722.84x = 161,023,872.24
  5. Step 5: Solve for x
    x = 161,023,872.24/15,722.84
  6. Step 6: Final answer
    x = 10,241.40

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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.