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Finding the Fourth Proportional to 17,741.30, 24,483.67 and 9,783.45

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Solution

The fourth proportional to 17,741.30, 24,483.67 and 9,783.45 is: 13,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.30 : 24,483.67 = 9,783.45 : x
  2. Step 2: Convert to fraction form
    17,741.30/24,483.67 = 9,783.45/x
  3. Step 3: Cross multiply
    17,741.30x = 24,483.67 × 9,783.45
  4. Step 4: Simplify right side
    17,741.30x = 239,534,736.80
  5. Step 5: Solve for x
    x = 239,534,736.80/17,741.30
  6. Step 6: Final answer
    x = 13,501.54

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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.