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Finding the Fourth Proportional to 24,333, 33,580.71 and 13,722.41

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Solution

The fourth proportional to 24,333, 33,580.71 and 13,722.41 is: 18,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333 : 33,580.71 = 13,722.41 : x
  2. Step 2: Convert to fraction form
    24,333/33,580.71 = 13,722.41/x
  3. Step 3: Cross multiply
    24,333x = 33,580.71 × 13,722.41
  4. Step 4: Simplify right side
    24,333x = 460,808,102.81
  5. Step 5: Solve for x
    x = 460,808,102.81/24,333
  6. Step 6: Final answer
    x = 18,937.58

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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.