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Finding the Fourth Proportional to 25,741.54, 38,613.84 and 9,949

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Solution

The fourth proportional to 25,741.54, 38,613.84 and 9,949 is: 14,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.54 : 38,613.84 = 9,949 : x
  2. Step 2: Convert to fraction form
    25,741.54/38,613.84 = 9,949/x
  3. Step 3: Cross multiply
    25,741.54x = 38,613.84 × 9,949
  4. Step 4: Simplify right side
    25,741.54x = 384,169,094.16
  5. Step 5: Solve for x
    x = 384,169,094.16/25,741.54
  6. Step 6: Final answer
    x = 14,924.09

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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.