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Finding the Fourth Proportional to 17,283.06, 23,850.72 and 9,831.06

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Solution

The fourth proportional to 17,283.06, 23,850.72 and 9,831.06 is: 13,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.06 : 23,850.72 = 9,831.06 : x
  2. Step 2: Convert to fraction form
    17,283.06/23,850.72 = 9,831.06/x
  3. Step 3: Cross multiply
    17,283.06x = 23,850.72 × 9,831.06
  4. Step 4: Simplify right side
    17,283.06x = 234,477,859.36
  5. Step 5: Solve for x
    x = 234,477,859.36/17,283.06
  6. Step 6: Final answer
    x = 13,566.92

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1.5x scale

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.