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Finding the Fourth Proportional to 17,741.66, 24,483.41 and 9,784.02

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Solution

The fourth proportional to 17,741.66, 24,483.41 and 9,784.02 is: 13,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.66 : 24,483.41 = 9,784.02 : x
  2. Step 2: Convert to fraction form
    17,741.66/24,483.41 = 9,784.02/x
  3. Step 3: Cross multiply
    17,741.66x = 24,483.41 × 9,784.02
  4. Step 4: Simplify right side
    17,741.66x = 239,546,173.11
  5. Step 5: Solve for x
    x = 239,546,173.11/17,741.66
  6. Step 6: Final answer
    x = 13,501.90

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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.