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Finding the Fourth Proportional to 20,264.87, 27,962.74 and 11,311.22

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Solution

The fourth proportional to 20,264.87, 27,962.74 and 11,311.22 is: 15,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.87 : 27,962.74 = 11,311.22 : x
  2. Step 2: Convert to fraction form
    20,264.87/27,962.74 = 11,311.22/x
  3. Step 3: Cross multiply
    20,264.87x = 27,962.74 × 11,311.22
  4. Step 4: Simplify right side
    20,264.87x = 316,292,703.94
  5. Step 5: Solve for x
    x = 316,292,703.94/20,264.87
  6. Step 6: Final answer
    x = 15,607.93

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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.