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Finding the Fourth Proportional to 17,853.84, 24,637.35 and 10,299.72

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Solution

The fourth proportional to 17,853.84, 24,637.35 and 10,299.72 is: 14,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.84 : 24,637.35 = 10,299.72 : x
  2. Step 2: Convert to fraction form
    17,853.84/24,637.35 = 10,299.72/x
  3. Step 3: Cross multiply
    17,853.84x = 24,637.35 × 10,299.72
  4. Step 4: Simplify right side
    17,853.84x = 253,757,806.54
  5. Step 5: Solve for x
    x = 253,757,806.54/17,853.84
  6. Step 6: Final answer
    x = 14,213.07

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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.