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Finding the Fourth Proportional to 23,579, 35,372.64 and 9,538.46

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Solution

The fourth proportional to 23,579, 35,372.64 and 9,538.46 is: 14,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,579 : 35,372.64 = 9,538.46 : x
  2. Step 2: Convert to fraction form
    23,579/35,372.64 = 9,538.46/x
  3. Step 3: Cross multiply
    23,579x = 35,372.64 × 9,538.46
  4. Step 4: Simplify right side
    23,579x = 337,400,511.73
  5. Step 5: Solve for x
    x = 337,400,511.73/23,579
  6. Step 6: Final answer
    x = 14,309.36

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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.