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Finding the Fourth Proportional to 23,531, 35,299.44 and 7,115

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Solution

The fourth proportional to 23,531, 35,299.44 and 7,115 is: 10,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531 : 35,299.44 = 7,115 : x
  2. Step 2: Convert to fraction form
    23,531/35,299.44 = 7,115/x
  3. Step 3: Cross multiply
    23,531x = 35,299.44 × 7,115
  4. Step 4: Simplify right side
    23,531x = 251,155,515.60
  5. Step 5: Solve for x
    x = 251,155,515.60/23,531
  6. Step 6: Final answer
    x = 10,673.39

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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.