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Finding the Fourth Proportional to 17,136.17, 23,647.78 and 9,582.51

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Solution

The fourth proportional to 17,136.17, 23,647.78 and 9,582.51 is: 13,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.17 : 23,647.78 = 9,582.51 : x
  2. Step 2: Convert to fraction form
    17,136.17/23,647.78 = 9,582.51/x
  3. Step 3: Cross multiply
    17,136.17x = 23,647.78 × 9,582.51
  4. Step 4: Simplify right side
    17,136.17x = 226,605,088.33
  5. Step 5: Solve for x
    x = 226,605,088.33/17,136.17
  6. Step 6: Final answer
    x = 13,223.79

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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.