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Finding the Fourth Proportional to 20,216.66, 27,898.16 and 11,264.00

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Solution

The fourth proportional to 20,216.66, 27,898.16 and 11,264.00 is: 15,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.66 : 27,898.16 = 11,264.00 : x
  2. Step 2: Convert to fraction form
    20,216.66/27,898.16 = 11,264.00/x
  3. Step 3: Cross multiply
    20,216.66x = 27,898.16 × 11,264.00
  4. Step 4: Simplify right side
    20,216.66x = 314,244,678.43
  5. Step 5: Solve for x
    x = 314,244,678.43/20,216.66
  6. Step 6: Final answer
    x = 15,543.85

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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.