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Finding the Fourth Proportional to 13,543.20, 20,322.88 and 4,784.24

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Solution

The fourth proportional to 13,543.20, 20,322.88 and 4,784.24 is: 7,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.20 : 20,322.88 = 4,784.24 : x
  2. Step 2: Convert to fraction form
    13,543.20/20,322.88 = 4,784.24/x
  3. Step 3: Cross multiply
    13,543.20x = 20,322.88 × 4,784.24
  4. Step 4: Simplify right side
    13,543.20x = 97,229,535.41
  5. Step 5: Solve for x
    x = 97,229,535.41/13,543.20
  6. Step 6: Final answer
    x = 7,179.21

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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.