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Finding the Fourth Proportional to 27,602.40, 41,404.28 and 10,072.22

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Solution

The fourth proportional to 27,602.40, 41,404.28 and 10,072.22 is: 15,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.40 : 41,404.28 = 10,072.22 : x
  2. Step 2: Convert to fraction form
    27,602.40/41,404.28 = 10,072.22/x
  3. Step 3: Cross multiply
    27,602.40x = 41,404.28 × 10,072.22
  4. Step 4: Simplify right side
    27,602.40x = 417,032,914.99
  5. Step 5: Solve for x
    x = 417,032,914.99/27,602.40
  6. Step 6: Final answer
    x = 15,108.58

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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.