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Finding the Fourth Proportional to 14,693.09, 22,042.89 and 4,831.97

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Solution

The fourth proportional to 14,693.09, 22,042.89 and 4,831.97 is: 7,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.09 : 22,042.89 = 4,831.97 : x
  2. Step 2: Convert to fraction form
    14,693.09/22,042.89 = 4,831.97/x
  3. Step 3: Cross multiply
    14,693.09x = 22,042.89 × 4,831.97
  4. Step 4: Simplify right side
    14,693.09x = 106,510,472.98
  5. Step 5: Solve for x
    x = 106,510,472.98/14,693.09
  6. Step 6: Final answer
    x = 7,249.02

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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.