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Finding the Fourth Proportional to 16,416.36, 24,615.90 and 11,223.72

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Solution

The fourth proportional to 16,416.36, 24,615.90 and 11,223.72 is: 16,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.36 : 24,615.90 = 11,223.72 : x
  2. Step 2: Convert to fraction form
    16,416.36/24,615.90 = 11,223.72/x
  3. Step 3: Cross multiply
    16,416.36x = 24,615.90 × 11,223.72
  4. Step 4: Simplify right side
    16,416.36x = 276,281,969.15
  5. Step 5: Solve for x
    x = 276,281,969.15/16,416.36
  6. Step 6: Final answer
    x = 16,829.67

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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.