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Finding the Fourth Proportional to 17,741, 24,482.75 and 9,783.49

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Solution

The fourth proportional to 17,741, 24,482.75 and 9,783.49 is: 13,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741 : 24,482.75 = 9,783.49 : x
  2. Step 2: Convert to fraction form
    17,741/24,482.75 = 9,783.49/x
  3. Step 3: Cross multiply
    17,741x = 24,482.75 × 9,783.49
  4. Step 4: Simplify right side
    17,741x = 239,526,739.80
  5. Step 5: Solve for x
    x = 239,526,739.80/17,741
  6. Step 6: Final answer
    x = 13,501.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.