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Finding the Fourth Proportional to 12,405.63, 17,119.47 and 6,740.25

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Solution

The fourth proportional to 12,405.63, 17,119.47 and 6,740.25 is: 9,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.63 : 17,119.47 = 6,740.25 : x
  2. Step 2: Convert to fraction form
    12,405.63/17,119.47 = 6,740.25/x
  3. Step 3: Cross multiply
    12,405.63x = 17,119.47 × 6,740.25
  4. Step 4: Simplify right side
    12,405.63x = 115,389,507.67
  5. Step 5: Solve for x
    x = 115,389,507.67/12,405.63
  6. Step 6: Final answer
    x = 9,301.38

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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.