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Finding the Fourth Proportional to 20,946, 28,905.68 and 11,514.77

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Solution

The fourth proportional to 20,946, 28,905.68 and 11,514.77 is: 15,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946 : 28,905.68 = 11,514.77 : x
  2. Step 2: Convert to fraction form
    20,946/28,905.68 = 11,514.77/x
  3. Step 3: Cross multiply
    20,946x = 28,905.68 × 11,514.77
  4. Step 4: Simplify right side
    20,946x = 332,842,141.15
  5. Step 5: Solve for x
    x = 332,842,141.15/20,946
  6. Step 6: Final answer
    x = 15,890.49

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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.