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Finding the Fourth Proportional to 27,206.58, 40,831.74 and 14,062.80

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Solution

The fourth proportional to 27,206.58, 40,831.74 and 14,062.80 is: 21,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.58 : 40,831.74 = 14,062.80 : x
  2. Step 2: Convert to fraction form
    27,206.58/40,831.74 = 14,062.80/x
  3. Step 3: Cross multiply
    27,206.58x = 40,831.74 × 14,062.80
  4. Step 4: Simplify right side
    27,206.58x = 574,208,593.27
  5. Step 5: Solve for x
    x = 574,208,593.27/27,206.58
  6. Step 6: Final answer
    x = 21,105.50

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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.