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Finding the Fourth Proportional to 13,548, 20,325.94 and 6,158.36

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Solution

The fourth proportional to 13,548, 20,325.94 and 6,158.36 is: 9,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548 : 20,325.94 = 6,158.36 : x
  2. Step 2: Convert to fraction form
    13,548/20,325.94 = 6,158.36/x
  3. Step 3: Cross multiply
    13,548x = 20,325.94 × 6,158.36
  4. Step 4: Simplify right side
    13,548x = 125,174,455.86
  5. Step 5: Solve for x
    x = 125,174,455.86/13,548
  6. Step 6: Final answer
    x = 9,239.33

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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.