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Finding the Fourth Proportional to 13,465.52, 20,200.20 and 4,232.24

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Solution

The fourth proportional to 13,465.52, 20,200.20 and 4,232.24 is: 6,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.52 : 20,200.20 = 4,232.24 : x
  2. Step 2: Convert to fraction form
    13,465.52/20,200.20 = 4,232.24/x
  3. Step 3: Cross multiply
    13,465.52x = 20,200.20 × 4,232.24
  4. Step 4: Simplify right side
    13,465.52x = 85,492,094.45
  5. Step 5: Solve for x
    x = 85,492,094.45/13,465.52
  6. Step 6: Final answer
    x = 6,348.96

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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.