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Finding the Fourth Proportional to 11,831.40, 17,660.49 and 10,430.22

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Solution

The fourth proportional to 11,831.40, 17,660.49 and 10,430.22 is: 15,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.40 : 17,660.49 = 10,430.22 : x
  2. Step 2: Convert to fraction form
    11,831.40/17,660.49 = 10,430.22/x
  3. Step 3: Cross multiply
    11,831.40x = 17,660.49 × 10,430.22
  4. Step 4: Simplify right side
    11,831.40x = 184,202,796.01
  5. Step 5: Solve for x
    x = 184,202,796.01/11,831.40
  6. Step 6: Final answer
    x = 15,568.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.