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Finding the Fourth Proportional to 23,728.10, 35,597.82 and 7,089.49

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Solution

The fourth proportional to 23,728.10, 35,597.82 and 7,089.49 is: 10,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.10 : 35,597.82 = 7,089.49 : x
  2. Step 2: Convert to fraction form
    23,728.10/35,597.82 = 7,089.49/x
  3. Step 3: Cross multiply
    23,728.10x = 35,597.82 × 7,089.49
  4. Step 4: Simplify right side
    23,728.10x = 252,370,210.92
  5. Step 5: Solve for x
    x = 252,370,210.92/23,728.10
  6. Step 6: Final answer
    x = 10,635.92

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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.