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Finding the Fourth Proportional to 23,534.88, 35,304.34 and 6,004.65

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Solution

The fourth proportional to 23,534.88, 35,304.34 and 6,004.65 is: 9,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.88 : 35,304.34 = 6,004.65 : x
  2. Step 2: Convert to fraction form
    23,534.88/35,304.34 = 6,004.65/x
  3. Step 3: Cross multiply
    23,534.88x = 35,304.34 × 6,004.65
  4. Step 4: Simplify right side
    23,534.88x = 211,990,205.18
  5. Step 5: Solve for x
    x = 211,990,205.18/23,534.88
  6. Step 6: Final answer
    x = 9,007.49

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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.