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Finding the Fourth Proportional to 12,672.24, 19,009.32 and 3,438

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Solution

The fourth proportional to 12,672.24, 19,009.32 and 3,438 is: 5,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.24 : 19,009.32 = 3,438 : x
  2. Step 2: Convert to fraction form
    12,672.24/19,009.32 = 3,438/x
  3. Step 3: Cross multiply
    12,672.24x = 19,009.32 × 3,438
  4. Step 4: Simplify right side
    12,672.24x = 65,354,042.16
  5. Step 5: Solve for x
    x = 65,354,042.16/12,672.24
  6. Step 6: Final answer
    x = 5,157.26

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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.