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Finding the Fourth Proportional to 17,035, 25,552.50 and 4,723

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Solution

The fourth proportional to 17,035, 25,552.50 and 4,723 is: 7,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035 : 25,552.50 = 4,723 : x
  2. Step 2: Convert to fraction form
    17,035/25,552.50 = 4,723/x
  3. Step 3: Cross multiply
    17,035x = 25,552.50 × 4,723
  4. Step 4: Simplify right side
    17,035x = 120,684,457.50
  5. Step 5: Solve for x
    x = 120,684,457.50/17,035
  6. Step 6: Final answer
    x = 7,084.50

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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.