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Finding the Fourth Proportional to 12,467.62, 17,205.21 and 6,878.50

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Solution

The fourth proportional to 12,467.62, 17,205.21 and 6,878.50 is: 9,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.62 : 17,205.21 = 6,878.50 : x
  2. Step 2: Convert to fraction form
    12,467.62/17,205.21 = 6,878.50/x
  3. Step 3: Cross multiply
    12,467.62x = 17,205.21 × 6,878.50
  4. Step 4: Simplify right side
    12,467.62x = 118,346,036.99
  5. Step 5: Solve for x
    x = 118,346,036.99/12,467.62
  6. Step 6: Final answer
    x = 9,492.27

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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.