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Finding the Fourth Proportional to 27,765.47, 41,623.01 and 14,422.87

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Solution

The fourth proportional to 27,765.47, 41,623.01 and 14,422.87 is: 21,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.47 : 41,623.01 = 14,422.87 : x
  2. Step 2: Convert to fraction form
    27,765.47/41,623.01 = 14,422.87/x
  3. Step 3: Cross multiply
    27,765.47x = 41,623.01 × 14,422.87
  4. Step 4: Simplify right side
    27,765.47x = 600,323,296.24
  5. Step 5: Solve for x
    x = 600,323,296.24/27,765.47
  6. Step 6: Final answer
    x = 21,621.22

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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.