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Finding the Fourth Proportional to 25,669.56, 38,492.82 and 11,811

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Solution

The fourth proportional to 25,669.56, 38,492.82 and 11,811 is: 17,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.56 : 38,492.82 = 11,811 : x
  2. Step 2: Convert to fraction form
    25,669.56/38,492.82 = 11,811/x
  3. Step 3: Cross multiply
    25,669.56x = 38,492.82 × 11,811
  4. Step 4: Simplify right side
    25,669.56x = 454,638,697.02
  5. Step 5: Solve for x
    x = 454,638,697.02/25,669.56
  6. Step 6: Final answer
    x = 17,711.20

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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.