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Finding the Fourth Proportional to 27,856.40, 41,798.24 and 13,817.76

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Solution

The fourth proportional to 27,856.40, 41,798.24 and 13,817.76 is: 20,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.40 : 41,798.24 = 13,817.76 : x
  2. Step 2: Convert to fraction form
    27,856.40/41,798.24 = 13,817.76/x
  3. Step 3: Cross multiply
    27,856.40x = 41,798.24 × 13,817.76
  4. Step 4: Simplify right side
    27,856.40x = 577,558,048.74
  5. Step 5: Solve for x
    x = 577,558,048.74/27,856.40
  6. Step 6: Final answer
    x = 20,733.41

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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.