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Finding the Fourth Proportional to 23,574, 35,361.41 and 7,992.03

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Solution

The fourth proportional to 23,574, 35,361.41 and 7,992.03 is: 11,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 35,361.41 = 7,992.03 : x
  2. Step 2: Convert to fraction form
    23,574/35,361.41 = 7,992.03/x
  3. Step 3: Cross multiply
    23,574x = 35,361.41 × 7,992.03
  4. Step 4: Simplify right side
    23,574x = 282,609,409.60
  5. Step 5: Solve for x
    x = 282,609,409.60/23,574
  6. Step 6: Final answer
    x = 11,988.18

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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.