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Finding the Fourth Proportional to 24,489, 33,783.44 and 14,411.07

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Solution

The fourth proportional to 24,489, 33,783.44 and 14,411.07 is: 19,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489 : 33,783.44 = 14,411.07 : x
  2. Step 2: Convert to fraction form
    24,489/33,783.44 = 14,411.07/x
  3. Step 3: Cross multiply
    24,489x = 33,783.44 × 14,411.07
  4. Step 4: Simplify right side
    24,489x = 486,855,446.63
  5. Step 5: Solve for x
    x = 486,855,446.63/24,489
  6. Step 6: Final answer
    x = 19,880.58

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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.