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Finding the Fourth Proportional to 17,202.84, 25,803.45 and 6,807.30

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Solution

The fourth proportional to 17,202.84, 25,803.45 and 6,807.30 is: 10,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.84 : 25,803.45 = 6,807.30 : x
  2. Step 2: Convert to fraction form
    17,202.84/25,803.45 = 6,807.30/x
  3. Step 3: Cross multiply
    17,202.84x = 25,803.45 × 6,807.30
  4. Step 4: Simplify right side
    17,202.84x = 175,651,825.19
  5. Step 5: Solve for x
    x = 175,651,825.19/17,202.84
  6. Step 6: Final answer
    x = 10,210.63

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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.