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Finding the Fourth Proportional to 13,148.82, 18,145.74 and 7,484.37

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Solution

The fourth proportional to 13,148.82, 18,145.74 and 7,484.37 is: 10,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.82 : 18,145.74 = 7,484.37 : x
  2. Step 2: Convert to fraction form
    13,148.82/18,145.74 = 7,484.37/x
  3. Step 3: Cross multiply
    13,148.82x = 18,145.74 × 7,484.37
  4. Step 4: Simplify right side
    13,148.82x = 135,809,432.08
  5. Step 5: Solve for x
    x = 135,809,432.08/13,148.82
  6. Step 6: Final answer
    x = 10,328.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.