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Finding the Fourth Proportional to 12,722.36, 17,556.46 and 7,417.40

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Solution

The fourth proportional to 12,722.36, 17,556.46 and 7,417.40 is: 10,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.36 : 17,556.46 = 7,417.40 : x
  2. Step 2: Convert to fraction form
    12,722.36/17,556.46 = 7,417.40/x
  3. Step 3: Cross multiply
    12,722.36x = 17,556.46 × 7,417.40
  4. Step 4: Simplify right side
    12,722.36x = 130,223,286.40
  5. Step 5: Solve for x
    x = 130,223,286.40/12,722.36
  6. Step 6: Final answer
    x = 10,235.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.