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Finding the Fourth Proportional to 16,466.94, 24,702.84 and 4,778.64

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Solution

The fourth proportional to 16,466.94, 24,702.84 and 4,778.64 is: 7,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.94 : 24,702.84 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    16,466.94/24,702.84 = 4,778.64/x
  3. Step 3: Cross multiply
    16,466.94x = 24,702.84 × 4,778.64
  4. Step 4: Simplify right side
    16,466.94x = 118,045,979.34
  5. Step 5: Solve for x
    x = 118,045,979.34/16,466.94
  6. Step 6: Final answer
    x = 7,168.67

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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.