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Finding the Fourth Proportional to 25,876.08, 38,823.03 and 11,842.02

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Solution

The fourth proportional to 25,876.08, 38,823.03 and 11,842.02 is: 17,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.08 : 38,823.03 = 11,842.02 : x
  2. Step 2: Convert to fraction form
    25,876.08/38,823.03 = 11,842.02/x
  3. Step 3: Cross multiply
    25,876.08x = 38,823.03 × 11,842.02
  4. Step 4: Simplify right side
    25,876.08x = 459,743,097.72
  5. Step 5: Solve for x
    x = 459,743,097.72/25,876.08
  6. Step 6: Final answer
    x = 17,767.11

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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.