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Finding the Fourth Proportional to 27,461.25, 37,896.57 and 14,886

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Solution

The fourth proportional to 27,461.25, 37,896.57 and 14,886 is: 20,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.25 : 37,896.57 = 14,886 : x
  2. Step 2: Convert to fraction form
    27,461.25/37,896.57 = 14,886/x
  3. Step 3: Cross multiply
    27,461.25x = 37,896.57 × 14,886
  4. Step 4: Simplify right side
    27,461.25x = 564,128,341.02
  5. Step 5: Solve for x
    x = 564,128,341.02/27,461.25
  6. Step 6: Final answer
    x = 20,542.70

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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.