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Finding the Fourth Proportional to 20,248.16, 27,945.53 and 12,288.84

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Solution

The fourth proportional to 20,248.16, 27,945.53 and 12,288.84 is: 16,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.16 : 27,945.53 = 12,288.84 : x
  2. Step 2: Convert to fraction form
    20,248.16/27,945.53 = 12,288.84/x
  3. Step 3: Cross multiply
    20,248.16x = 27,945.53 × 12,288.84
  4. Step 4: Simplify right side
    20,248.16x = 343,418,085.44
  5. Step 5: Solve for x
    x = 343,418,085.44/20,248.16
  6. Step 6: Final answer
    x = 16,960.46

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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.