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Finding the Fourth Proportional to 16,697.88, 25,024.68 and 6,831.81

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Solution

The fourth proportional to 16,697.88, 25,024.68 and 6,831.81 is: 10,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.88 : 25,024.68 = 6,831.81 : x
  2. Step 2: Convert to fraction form
    16,697.88/25,024.68 = 6,831.81/x
  3. Step 3: Cross multiply
    16,697.88x = 25,024.68 × 6,831.81
  4. Step 4: Simplify right side
    16,697.88x = 170,963,859.07
  5. Step 5: Solve for x
    x = 170,963,859.07/16,697.88
  6. Step 6: Final answer
    x = 10,238.66

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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.