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Finding the Fourth Proportional to 27,461.40, 37,896.74 and 14,886.15

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Solution

The fourth proportional to 27,461.40, 37,896.74 and 14,886.15 is: 20,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.40 : 37,896.74 = 14,886.15 : x
  2. Step 2: Convert to fraction form
    27,461.40/37,896.74 = 14,886.15/x
  3. Step 3: Cross multiply
    27,461.40x = 37,896.74 × 14,886.15
  4. Step 4: Simplify right side
    27,461.40x = 564,136,556.15
  5. Step 5: Solve for x
    x = 564,136,556.15/27,461.40
  6. Step 6: Final answer
    x = 20,542.89

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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.