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Finding the Fourth Proportional to 18,778.77, 25,914.71 and 10,281.44

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Solution

The fourth proportional to 18,778.77, 25,914.71 and 10,281.44 is: 14,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.77 : 25,914.71 = 10,281.44 : x
  2. Step 2: Convert to fraction form
    18,778.77/25,914.71 = 10,281.44/x
  3. Step 3: Cross multiply
    18,778.77x = 25,914.71 × 10,281.44
  4. Step 4: Simplify right side
    18,778.77x = 266,440,495.75
  5. Step 5: Solve for x
    x = 266,440,495.75/18,778.77
  6. Step 6: Final answer
    x = 14,188.39

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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.