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Finding the Fourth Proportional to 23,536, 35,296.50 and 7,737.40

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Solution

The fourth proportional to 23,536, 35,296.50 and 7,737.40 is: 11,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536 : 35,296.50 = 7,737.40 : x
  2. Step 2: Convert to fraction form
    23,536/35,296.50 = 7,737.40/x
  3. Step 3: Cross multiply
    23,536x = 35,296.50 × 7,737.40
  4. Step 4: Simplify right side
    23,536x = 273,103,139.10
  5. Step 5: Solve for x
    x = 273,103,139.10/23,536
  6. Step 6: Final answer
    x = 11,603.63

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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.