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Finding the Fourth Proportional to 13,466.52, 20,200.50 and 5,145

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Solution

The fourth proportional to 13,466.52, 20,200.50 and 5,145 is: 7,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.52 : 20,200.50 = 5,145 : x
  2. Step 2: Convert to fraction form
    13,466.52/20,200.50 = 5,145/x
  3. Step 3: Cross multiply
    13,466.52x = 20,200.50 × 5,145
  4. Step 4: Simplify right side
    13,466.52x = 103,931,572.50
  5. Step 5: Solve for x
    x = 103,931,572.50/13,466.52
  6. Step 6: Final answer
    x = 7,717.78

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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.