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Finding the Fourth Proportional to 24,624, 33,981.36 and 13,446.24

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Solution

The fourth proportional to 24,624, 33,981.36 and 13,446.24 is: 18,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 33,981.36 = 13,446.24 : x
  2. Step 2: Convert to fraction form
    24,624/33,981.36 = 13,446.24/x
  3. Step 3: Cross multiply
    24,624x = 33,981.36 × 13,446.24
  4. Step 4: Simplify right side
    24,624x = 456,921,522.09
  5. Step 5: Solve for x
    x = 456,921,522.09/24,624
  6. Step 6: Final answer
    x = 18,555.94

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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.