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Finding the Fourth Proportional to 16,369.60, 24,558 and 7,600

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Solution

The fourth proportional to 16,369.60, 24,558 and 7,600 is: 11,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.60 : 24,558 = 7,600 : x
  2. Step 2: Convert to fraction form
    16,369.60/24,558 = 7,600/x
  3. Step 3: Cross multiply
    16,369.60x = 24,558 × 7,600
  4. Step 4: Simplify right side
    16,369.60x = 186,640,800
  5. Step 5: Solve for x
    x = 186,640,800/16,369.60
  6. Step 6: Final answer
    x = 11,401.67

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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.