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Finding the Fourth Proportional to 18,680.50, 25,779.50 and 10,297

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Solution

The fourth proportional to 18,680.50, 25,779.50 and 10,297 is: 14,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680.50 : 25,779.50 = 10,297 : x
  2. Step 2: Convert to fraction form
    18,680.50/25,779.50 = 10,297/x
  3. Step 3: Cross multiply
    18,680.50x = 25,779.50 × 10,297
  4. Step 4: Simplify right side
    18,680.50x = 265,451,511.50
  5. Step 5: Solve for x
    x = 265,451,511.50/18,680.50
  6. Step 6: Final answer
    x = 14,210.09

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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.