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Finding the Fourth Proportional to 20,257.15, 30,378.02 and 9,724.19

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Solution

The fourth proportional to 20,257.15, 30,378.02 and 9,724.19 is: 14,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.15 : 30,378.02 = 9,724.19 : x
  2. Step 2: Convert to fraction form
    20,257.15/30,378.02 = 9,724.19/x
  3. Step 3: Cross multiply
    20,257.15x = 30,378.02 × 9,724.19
  4. Step 4: Simplify right side
    20,257.15x = 295,401,492.49
  5. Step 5: Solve for x
    x = 295,401,492.49/20,257.15
  6. Step 6: Final answer
    x = 14,582.58

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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.