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Finding the Fourth Proportional to 12,290.32, 16,968.64 and 8,468.40

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Solution

The fourth proportional to 12,290.32, 16,968.64 and 8,468.40 is: 11,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.32 : 16,968.64 = 8,468.40 : x
  2. Step 2: Convert to fraction form
    12,290.32/16,968.64 = 8,468.40/x
  3. Step 3: Cross multiply
    12,290.32x = 16,968.64 × 8,468.40
  4. Step 4: Simplify right side
    12,290.32x = 143,697,230.98
  5. Step 5: Solve for x
    x = 143,697,230.98/12,290.32
  6. Step 6: Final answer
    x = 11,691.90

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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.