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Finding the Fourth Proportional to 25,652.22, 38,478.33 and 7,184.22

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Solution

The fourth proportional to 25,652.22, 38,478.33 and 7,184.22 is: 10,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.22 : 38,478.33 = 7,184.22 : x
  2. Step 2: Convert to fraction form
    25,652.22/38,478.33 = 7,184.22/x
  3. Step 3: Cross multiply
    25,652.22x = 38,478.33 × 7,184.22
  4. Step 4: Simplify right side
    25,652.22x = 276,436,787.95
  5. Step 5: Solve for x
    x = 276,436,787.95/25,652.22
  6. Step 6: Final answer
    x = 10,776.33

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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.