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Finding the Fourth Proportional to 12,467.68, 17,205.28 and 6,878.64

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Solution

The fourth proportional to 12,467.68, 17,205.28 and 6,878.64 is: 9,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.68 : 17,205.28 = 6,878.64 : x
  2. Step 2: Convert to fraction form
    12,467.68/17,205.28 = 6,878.64/x
  3. Step 3: Cross multiply
    12,467.68x = 17,205.28 × 6,878.64
  4. Step 4: Simplify right side
    12,467.68x = 118,348,927.22
  5. Step 5: Solve for x
    x = 118,348,927.22/12,467.68
  6. Step 6: Final answer
    x = 9,492.46

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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.