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Finding the Fourth Proportional to 23,532.72, 32,474 and 12,922.16

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Solution

The fourth proportional to 23,532.72, 32,474 and 12,922.16 is: 17,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.72 : 32,474 = 12,922.16 : x
  2. Step 2: Convert to fraction form
    23,532.72/32,474 = 12,922.16/x
  3. Step 3: Cross multiply
    23,532.72x = 32,474 × 12,922.16
  4. Step 4: Simplify right side
    23,532.72x = 419,634,223.84
  5. Step 5: Solve for x
    x = 419,634,223.84/23,532.72
  6. Step 6: Final answer
    x = 17,831.95

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