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Finding the Fourth Proportional to 13,440.08, 18,546.47 and 7,471.64

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Solution

The fourth proportional to 13,440.08, 18,546.47 and 7,471.64 is: 10,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.08 : 18,546.47 = 7,471.64 : x
  2. Step 2: Convert to fraction form
    13,440.08/18,546.47 = 7,471.64/x
  3. Step 3: Cross multiply
    13,440.08x = 18,546.47 × 7,471.64
  4. Step 4: Simplify right side
    13,440.08x = 138,572,509.75
  5. Step 5: Solve for x
    x = 138,572,509.75/13,440.08
  6. Step 6: Final answer
    x = 10,310.39

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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.