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Finding the Fourth Proportional to 17,741.22, 24,484 and 9,783.44

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Solution

The fourth proportional to 17,741.22, 24,484 and 9,783.44 is: 13,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.22 : 24,484 = 9,783.44 : x
  2. Step 2: Convert to fraction form
    17,741.22/24,484 = 9,783.44/x
  3. Step 3: Cross multiply
    17,741.22x = 24,484 × 9,783.44
  4. Step 4: Simplify right side
    17,741.22x = 239,537,744.96
  5. Step 5: Solve for x
    x = 239,537,744.96/17,741.22
  6. Step 6: Final answer
    x = 13,501.76

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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.