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Finding the Fourth Proportional to 18,706.50, 25,814.97 and 10,323

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Solution

The fourth proportional to 18,706.50, 25,814.97 and 10,323 is: 14,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.50 : 25,814.97 = 10,323 : x
  2. Step 2: Convert to fraction form
    18,706.50/25,814.97 = 10,323/x
  3. Step 3: Cross multiply
    18,706.50x = 25,814.97 × 10,323
  4. Step 4: Simplify right side
    18,706.50x = 266,487,935.31
  5. Step 5: Solve for x
    x = 266,487,935.31/18,706.50
  6. Step 6: Final answer
    x = 14,245.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.