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Finding the Fourth Proportional to 23,702.64, 35,541.60 and 11,843.52

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Solution

The fourth proportional to 23,702.64, 35,541.60 and 11,843.52 is: 17,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.64 : 35,541.60 = 11,843.52 : x
  2. Step 2: Convert to fraction form
    23,702.64/35,541.60 = 11,843.52/x
  3. Step 3: Cross multiply
    23,702.64x = 35,541.60 × 11,843.52
  4. Step 4: Simplify right side
    23,702.64x = 420,937,650.43
  5. Step 5: Solve for x
    x = 420,937,650.43/23,702.64
  6. Step 6: Final answer
    x = 17,759.10

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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.