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Finding the Fourth Proportional to 17,200.75, 25,802.34 and 6,812.50

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Solution

The fourth proportional to 17,200.75, 25,802.34 and 6,812.50 is: 10,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.75 : 25,802.34 = 6,812.50 : x
  2. Step 2: Convert to fraction form
    17,200.75/25,802.34 = 6,812.50/x
  3. Step 3: Cross multiply
    17,200.75x = 25,802.34 × 6,812.50
  4. Step 4: Simplify right side
    17,200.75x = 175,778,441.25
  5. Step 5: Solve for x
    x = 175,778,441.25/17,200.75
  6. Step 6: Final answer
    x = 10,219.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.