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Finding the Fourth Proportional to 12,521.84, 18,769.78 and 7,831.08

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Solution

The fourth proportional to 12,521.84, 18,769.78 and 7,831.08 is: 11,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.84 : 18,769.78 = 7,831.08 : x
  2. Step 2: Convert to fraction form
    12,521.84/18,769.78 = 7,831.08/x
  3. Step 3: Cross multiply
    12,521.84x = 18,769.78 × 7,831.08
  4. Step 4: Simplify right side
    12,521.84x = 146,987,648.76
  5. Step 5: Solve for x
    x = 146,987,648.76/12,521.84
  6. Step 6: Final answer
    x = 11,738.50

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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.