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Finding the Fourth Proportional to 27,407, 37,821.66 and 14,831.84

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Solution

The fourth proportional to 27,407, 37,821.66 and 14,831.84 is: 20,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407 : 37,821.66 = 14,831.84 : x
  2. Step 2: Convert to fraction form
    27,407/37,821.66 = 14,831.84/x
  3. Step 3: Cross multiply
    27,407x = 37,821.66 × 14,831.84
  4. Step 4: Simplify right side
    27,407x = 560,964,809.65
  5. Step 5: Solve for x
    x = 560,964,809.65/27,407
  6. Step 6: Final answer
    x = 20,467.94

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