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Finding the Fourth Proportional to 23,578.02, 35,358.93 and 7,992

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Solution

The fourth proportional to 23,578.02, 35,358.93 and 7,992 is: 11,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.02 : 35,358.93 = 7,992 : x
  2. Step 2: Convert to fraction form
    23,578.02/35,358.93 = 7,992/x
  3. Step 3: Cross multiply
    23,578.02x = 35,358.93 × 7,992
  4. Step 4: Simplify right side
    23,578.02x = 282,588,568.56
  5. Step 5: Solve for x
    x = 282,588,568.56/23,578.02
  6. Step 6: Final answer
    x = 11,985.25

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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.