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Finding the Fourth Proportional to 25,971.23, 38,926.08 and 11,919.42

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Solution

The fourth proportional to 25,971.23, 38,926.08 and 11,919.42 is: 17,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.23 : 38,926.08 = 11,919.42 : x
  2. Step 2: Convert to fraction form
    25,971.23/38,926.08 = 11,919.42/x
  3. Step 3: Cross multiply
    25,971.23x = 38,926.08 × 11,919.42
  4. Step 4: Simplify right side
    25,971.23x = 463,976,101.84
  5. Step 5: Solve for x
    x = 463,976,101.84/25,971.23
  6. Step 6: Final answer
    x = 17,865.00

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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.