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Finding the Fourth Proportional to 12,145.96, 16,743.36 and 7,427.08

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Solution

The fourth proportional to 12,145.96, 16,743.36 and 7,427.08 is: 10,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.96 : 16,743.36 = 7,427.08 : x
  2. Step 2: Convert to fraction form
    12,145.96/16,743.36 = 7,427.08/x
  3. Step 3: Cross multiply
    12,145.96x = 16,743.36 × 7,427.08
  4. Step 4: Simplify right side
    12,145.96x = 124,354,274.19
  5. Step 5: Solve for x
    x = 124,354,274.19/12,145.96
  6. Step 6: Final answer
    x = 10,238.32

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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.