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Finding the Fourth Proportional to 23,925, 35,896.16 and 7,509

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Solution

The fourth proportional to 23,925, 35,896.16 and 7,509 is: 11,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,925 : 35,896.16 = 7,509 : x
  2. Step 2: Convert to fraction form
    23,925/35,896.16 = 7,509/x
  3. Step 3: Cross multiply
    23,925x = 35,896.16 × 7,509
  4. Step 4: Simplify right side
    23,925x = 269,544,265.44
  5. Step 5: Solve for x
    x = 269,544,265.44/23,925
  6. Step 6: Final answer
    x = 11,266.22

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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.