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Finding the Fourth Proportional to 27,602.83, 41,404.93 and 10,072.66

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Solution

The fourth proportional to 27,602.83, 41,404.93 and 10,072.66 is: 15,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.83 : 41,404.93 = 10,072.66 : x
  2. Step 2: Convert to fraction form
    27,602.83/41,404.93 = 10,072.66/x
  3. Step 3: Cross multiply
    27,602.83x = 41,404.93 × 10,072.66
  4. Step 4: Simplify right side
    27,602.83x = 417,057,782.21
  5. Step 5: Solve for x
    x = 417,057,782.21/27,602.83
  6. Step 6: Final answer
    x = 15,109.24

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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.