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Finding the Fourth Proportional to 17,235.08, 25,852.74 and 6,142.20

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Solution

The fourth proportional to 17,235.08, 25,852.74 and 6,142.20 is: 9,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.08 : 25,852.74 = 6,142.20 : x
  2. Step 2: Convert to fraction form
    17,235.08/25,852.74 = 6,142.20/x
  3. Step 3: Cross multiply
    17,235.08x = 25,852.74 × 6,142.20
  4. Step 4: Simplify right side
    17,235.08x = 158,792,699.63
  5. Step 5: Solve for x
    x = 158,792,699.63/17,235.08
  6. Step 6: Final answer
    x = 9,213.34

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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.