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Finding the Fourth Proportional to 13,530.60, 20,282.22 and 5,204.16

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Solution

The fourth proportional to 13,530.60, 20,282.22 and 5,204.16 is: 7,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.60 : 20,282.22 = 5,204.16 : x
  2. Step 2: Convert to fraction form
    13,530.60/20,282.22 = 5,204.16/x
  3. Step 3: Cross multiply
    13,530.60x = 20,282.22 × 5,204.16
  4. Step 4: Simplify right side
    13,530.60x = 105,551,918.04
  5. Step 5: Solve for x
    x = 105,551,918.04/13,530.60
  6. Step 6: Final answer
    x = 7,800.98

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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.