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Finding the Fourth Proportional to 13,466.70, 20,200.05 and 4,700.48

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Solution

The fourth proportional to 13,466.70, 20,200.05 and 4,700.48 is: 7,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.70 : 20,200.05 = 4,700.48 : x
  2. Step 2: Convert to fraction form
    13,466.70/20,200.05 = 4,700.48/x
  3. Step 3: Cross multiply
    13,466.70x = 20,200.05 × 4,700.48
  4. Step 4: Simplify right side
    13,466.70x = 94,949,830.02
  5. Step 5: Solve for x
    x = 94,949,830.02/13,466.70
  6. Step 6: Final answer
    x = 7,050.71

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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.