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Finding the Fourth Proportional to 18,706.46, 25,814.54 and 10,208.75

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Solution

The fourth proportional to 18,706.46, 25,814.54 and 10,208.75 is: 14,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.46 : 25,814.54 = 10,208.75 : x
  2. Step 2: Convert to fraction form
    18,706.46/25,814.54 = 10,208.75/x
  3. Step 3: Cross multiply
    18,706.46x = 25,814.54 × 10,208.75
  4. Step 4: Simplify right side
    18,706.46x = 263,534,275.28
  5. Step 5: Solve for x
    x = 263,534,275.28/18,706.46
  6. Step 6: Final answer
    x = 14,087.87

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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.