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Finding the Fourth Proportional to 16,494.44, 24,741.98 and 4,807.72

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Solution

The fourth proportional to 16,494.44, 24,741.98 and 4,807.72 is: 7,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.44 : 24,741.98 = 4,807.72 : x
  2. Step 2: Convert to fraction form
    16,494.44/24,741.98 = 4,807.72/x
  3. Step 3: Cross multiply
    16,494.44x = 24,741.98 × 4,807.72
  4. Step 4: Simplify right side
    16,494.44x = 118,952,512.09
  5. Step 5: Solve for x
    x = 118,952,512.09/16,494.44
  6. Step 6: Final answer
    x = 7,211.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.