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Finding the Fourth Proportional to 23,473, 35,209.86 and 7,057

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Solution

The fourth proportional to 23,473, 35,209.86 and 7,057 is: 10,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473 : 35,209.86 = 7,057 : x
  2. Step 2: Convert to fraction form
    23,473/35,209.86 = 7,057/x
  3. Step 3: Cross multiply
    23,473x = 35,209.86 × 7,057
  4. Step 4: Simplify right side
    23,473x = 248,475,982.02
  5. Step 5: Solve for x
    x = 248,475,982.02/23,473
  6. Step 6: Final answer
    x = 10,585.61

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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.