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Finding the Fourth Proportional to 20,048.64, 27,668.14 and 12,093.42

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Solution

The fourth proportional to 20,048.64, 27,668.14 and 12,093.42 is: 16,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.64 : 27,668.14 = 12,093.42 : x
  2. Step 2: Convert to fraction form
    20,048.64/27,668.14 = 12,093.42/x
  3. Step 3: Cross multiply
    20,048.64x = 27,668.14 × 12,093.42
  4. Step 4: Simplify right side
    20,048.64x = 334,602,437.64
  5. Step 5: Solve for x
    x = 334,602,437.64/20,048.64
  6. Step 6: Final answer
    x = 16,689.53

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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.