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Finding the Fourth Proportional to 27,477, 37,918.26 and 14,901.84

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Solution

The fourth proportional to 27,477, 37,918.26 and 14,901.84 is: 20,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 37,918.26 = 14,901.84 : x
  2. Step 2: Convert to fraction form
    27,477/37,918.26 = 14,901.84/x
  3. Step 3: Cross multiply
    27,477x = 37,918.26 × 14,901.84
  4. Step 4: Simplify right side
    27,477x = 565,051,843.60
  5. Step 5: Solve for x
    x = 565,051,843.60/27,477
  6. Step 6: Final answer
    x = 20,564.54

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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.