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Finding the Fourth Proportional to 23,690.64, 35,523.54 and 11,831.70

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Solution

The fourth proportional to 23,690.64, 35,523.54 and 11,831.70 is: 17,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,690.64 : 35,523.54 = 11,831.70 : x
  2. Step 2: Convert to fraction form
    23,690.64/35,523.54 = 11,831.70/x
  3. Step 3: Cross multiply
    23,690.64x = 35,523.54 × 11,831.70
  4. Step 4: Simplify right side
    23,690.64x = 420,303,868.22
  5. Step 5: Solve for x
    x = 420,303,868.22/23,690.64
  6. Step 6: Final answer
    x = 17,741.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.