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Finding the Fourth Proportional to 12,722.77, 17,556.54 and 7,345.42

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Solution

The fourth proportional to 12,722.77, 17,556.54 and 7,345.42 is: 10,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.77 : 17,556.54 = 7,345.42 : x
  2. Step 2: Convert to fraction form
    12,722.77/17,556.54 = 7,345.42/x
  3. Step 3: Cross multiply
    12,722.77x = 17,556.54 × 7,345.42
  4. Step 4: Simplify right side
    12,722.77x = 128,960,160.05
  5. Step 5: Solve for x
    x = 128,960,160.05/12,722.77
  6. Step 6: Final answer
    x = 10,136.17

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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.