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Finding the Fourth Proportional to 23,534.46, 32,475.78 and 12,922.38

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Solution

The fourth proportional to 23,534.46, 32,475.78 and 12,922.38 is: 17,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.46 : 32,475.78 = 12,922.38 : x
  2. Step 2: Convert to fraction form
    23,534.46/32,475.78 = 12,922.38/x
  3. Step 3: Cross multiply
    23,534.46x = 32,475.78 × 12,922.38
  4. Step 4: Simplify right side
    23,534.46x = 419,664,369.96
  5. Step 5: Solve for x
    x = 419,664,369.96/23,534.46
  6. Step 6: Final answer
    x = 17,831.91

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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.