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Finding the Fourth Proportional to 20,848, 28,770.24 and 11,416.92

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Solution

The fourth proportional to 20,848, 28,770.24 and 11,416.92 is: 15,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848 : 28,770.24 = 11,416.92 : x
  2. Step 2: Convert to fraction form
    20,848/28,770.24 = 11,416.92/x
  3. Step 3: Cross multiply
    20,848x = 28,770.24 × 11,416.92
  4. Step 4: Simplify right side
    20,848x = 328,467,528.46
  5. Step 5: Solve for x
    x = 328,467,528.46/20,848
  6. Step 6: Final answer
    x = 15,755.35

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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.