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Finding the Fourth Proportional to 27,656.68, 41,496.42 and 9,889.76

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Solution

The fourth proportional to 27,656.68, 41,496.42 and 9,889.76 is: 14,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.68 : 41,496.42 = 9,889.76 : x
  2. Step 2: Convert to fraction form
    27,656.68/41,496.42 = 9,889.76/x
  3. Step 3: Cross multiply
    27,656.68x = 41,496.42 × 9,889.76
  4. Step 4: Simplify right side
    27,656.68x = 410,389,634.66
  5. Step 5: Solve for x
    x = 410,389,634.66/27,656.68
  6. Step 6: Final answer
    x = 14,838.72

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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.