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Finding the Fourth Proportional to 27,415.23, 41,039.01 and 17,564.01

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Solution

The fourth proportional to 27,415.23, 41,039.01 and 17,564.01 is: 26,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.23 : 41,039.01 = 17,564.01 : x
  2. Step 2: Convert to fraction form
    27,415.23/41,039.01 = 17,564.01/x
  3. Step 3: Cross multiply
    27,415.23x = 41,039.01 × 17,564.01
  4. Step 4: Simplify right side
    27,415.23x = 720,809,582.03
  5. Step 5: Solve for x
    x = 720,809,582.03/27,415.23
  6. Step 6: Final answer
    x = 26,292.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.