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Finding the Fourth Proportional to 20,085.12, 27,717.80 and 11,133

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Solution

The fourth proportional to 20,085.12, 27,717.80 and 11,133 is: 15,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.12 : 27,717.80 = 11,133 : x
  2. Step 2: Convert to fraction form
    20,085.12/27,717.80 = 11,133/x
  3. Step 3: Cross multiply
    20,085.12x = 27,717.80 × 11,133
  4. Step 4: Simplify right side
    20,085.12x = 308,582,211.74
  5. Step 5: Solve for x
    x = 308,582,211.74/20,085.12
  6. Step 6: Final answer
    x = 15,363.72

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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.