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Finding the Fourth Proportional to 13,333.74, 18,402.82 and 10,141.92

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Solution

The fourth proportional to 13,333.74, 18,402.82 and 10,141.92 is: 13,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.74 : 18,402.82 = 10,141.92 : x
  2. Step 2: Convert to fraction form
    13,333.74/18,402.82 = 10,141.92/x
  3. Step 3: Cross multiply
    13,333.74x = 18,402.82 × 10,141.92
  4. Step 4: Simplify right side
    13,333.74x = 186,639,928.21
  5. Step 5: Solve for x
    x = 186,639,928.21/13,333.74
  6. Step 6: Final answer
    x = 13,997.57

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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.