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Finding the Fourth Proportional to 18,767.50, 25,899.96 and 10,384

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Solution

The fourth proportional to 18,767.50, 25,899.96 and 10,384 is: 14,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,767.50 : 25,899.96 = 10,384 : x
  2. Step 2: Convert to fraction form
    18,767.50/25,899.96 = 10,384/x
  3. Step 3: Cross multiply
    18,767.50x = 25,899.96 × 10,384
  4. Step 4: Simplify right side
    18,767.50x = 268,945,184.64
  5. Step 5: Solve for x
    x = 268,945,184.64/18,767.50
  6. Step 6: Final answer
    x = 14,330.37

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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.