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Finding the Fourth Proportional to 11,151.81, 15,369.21 and 10,831.95

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Solution

The fourth proportional to 11,151.81, 15,369.21 and 10,831.95 is: 14,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.81 : 15,369.21 = 10,831.95 : x
  2. Step 2: Convert to fraction form
    11,151.81/15,369.21 = 10,831.95/x
  3. Step 3: Cross multiply
    11,151.81x = 15,369.21 × 10,831.95
  4. Step 4: Simplify right side
    11,151.81x = 166,478,514.26
  5. Step 5: Solve for x
    x = 166,478,514.26/11,151.81
  6. Step 6: Final answer
    x = 14,928.39

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Why These Related Problems?

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