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Finding the Fourth Proportional to 23,723.69, 35,573.43 and 7,923.03

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Solution

The fourth proportional to 23,723.69, 35,573.43 and 7,923.03 is: 11,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.69 : 35,573.43 = 7,923.03 : x
  2. Step 2: Convert to fraction form
    23,723.69/35,573.43 = 7,923.03/x
  3. Step 3: Cross multiply
    23,723.69x = 35,573.43 × 7,923.03
  4. Step 4: Simplify right side
    23,723.69x = 281,849,264.16
  5. Step 5: Solve for x
    x = 281,849,264.16/23,723.69
  6. Step 6: Final answer
    x = 11,880.50

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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.