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Finding the Fourth Proportional to 18,684, 28,025.93 and 6,204.96

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Solution

The fourth proportional to 18,684, 28,025.93 and 6,204.96 is: 9,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 28,025.93 = 6,204.96 : x
  2. Step 2: Convert to fraction form
    18,684/28,025.93 = 6,204.96/x
  3. Step 3: Cross multiply
    18,684x = 28,025.93 × 6,204.96
  4. Step 4: Simplify right side
    18,684x = 173,899,774.61
  5. Step 5: Solve for x
    x = 173,899,774.61/18,684
  6. Step 6: Final answer
    x = 9,307.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.