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Finding the Fourth Proportional to 24,522, 33,835.12 and 14,446.76

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Solution

The fourth proportional to 24,522, 33,835.12 and 14,446.76 is: 19,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522 : 33,835.12 = 14,446.76 : x
  2. Step 2: Convert to fraction form
    24,522/33,835.12 = 14,446.76/x
  3. Step 3: Cross multiply
    24,522x = 33,835.12 × 14,446.76
  4. Step 4: Simplify right side
    24,522x = 488,807,858.21
  5. Step 5: Solve for x
    x = 488,807,858.21/24,522
  6. Step 6: Final answer
    x = 19,933.44

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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.