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Finding the Fourth Proportional to 13,564.39, 20,349.81 and 5,662.50

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Solution

The fourth proportional to 13,564.39, 20,349.81 and 5,662.50 is: 8,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.39 : 20,349.81 = 5,662.50 : x
  2. Step 2: Convert to fraction form
    13,564.39/20,349.81 = 5,662.50/x
  3. Step 3: Cross multiply
    13,564.39x = 20,349.81 × 5,662.50
  4. Step 4: Simplify right side
    13,564.39x = 115,230,764.12
  5. Step 5: Solve for x
    x = 115,230,764.12/13,564.39
  6. Step 6: Final answer
    x = 8,495.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.