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Finding the Fourth Proportional to 27,441, 37,869.24 and 16,824.48

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Solution

The fourth proportional to 27,441, 37,869.24 and 16,824.48 is: 23,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 37,869.24 = 16,824.48 : x
  2. Step 2: Convert to fraction form
    27,441/37,869.24 = 16,824.48/x
  3. Step 3: Cross multiply
    27,441x = 37,869.24 × 16,824.48
  4. Step 4: Simplify right side
    27,441x = 637,130,271.00
  5. Step 5: Solve for x
    x = 637,130,271.00/27,441
  6. Step 6: Final answer
    x = 23,218.19

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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.