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Finding the Fourth Proportional to 13,033.60, 19,543.20 and 5,233.60

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Solution

The fourth proportional to 13,033.60, 19,543.20 and 5,233.60 is: 7,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.60 : 19,543.20 = 5,233.60 : x
  2. Step 2: Convert to fraction form
    13,033.60/19,543.20 = 5,233.60/x
  3. Step 3: Cross multiply
    13,033.60x = 19,543.20 × 5,233.60
  4. Step 4: Simplify right side
    13,033.60x = 102,281,291.52
  5. Step 5: Solve for x
    x = 102,281,291.52/13,033.60
  6. Step 6: Final answer
    x = 7,847.51

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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.