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Finding the Fourth Proportional to 12,768.54, 17,615.58 and 9,419.28

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Solution

The fourth proportional to 12,768.54, 17,615.58 and 9,419.28 is: 12,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.54 : 17,615.58 = 9,419.28 : x
  2. Step 2: Convert to fraction form
    12,768.54/17,615.58 = 9,419.28/x
  3. Step 3: Cross multiply
    12,768.54x = 17,615.58 × 9,419.28
  4. Step 4: Simplify right side
    12,768.54x = 165,926,080.38
  5. Step 5: Solve for x
    x = 165,926,080.38/12,768.54
  6. Step 6: Final answer
    x = 12,994.91

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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.