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Finding the Fourth Proportional to 16,577.96, 24,858.30 and 6,181.16

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Solution

The fourth proportional to 16,577.96, 24,858.30 and 6,181.16 is: 9,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.96 : 24,858.30 = 6,181.16 : x
  2. Step 2: Convert to fraction form
    16,577.96/24,858.30 = 6,181.16/x
  3. Step 3: Cross multiply
    16,577.96x = 24,858.30 × 6,181.16
  4. Step 4: Simplify right side
    16,577.96x = 153,653,129.63
  5. Step 5: Solve for x
    x = 153,653,129.63/16,577.96
  6. Step 6: Final answer
    x = 9,268.52

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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.