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Finding the Fourth Proportional to 23,915.56, 35,840.52 and 12,204.16

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Solution

The fourth proportional to 23,915.56, 35,840.52 and 12,204.16 is: 18,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.56 : 35,840.52 = 12,204.16 : x
  2. Step 2: Convert to fraction form
    23,915.56/35,840.52 = 12,204.16/x
  3. Step 3: Cross multiply
    23,915.56x = 35,840.52 × 12,204.16
  4. Step 4: Simplify right side
    23,915.56x = 437,403,440.56
  5. Step 5: Solve for x
    x = 437,403,440.56/23,915.56
  6. Step 6: Final answer
    x = 18,289.49

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Why These Related Problems?

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