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Finding the Fourth Proportional to 12,402.02, 17,114.55 and 6,813.02

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Solution

The fourth proportional to 12,402.02, 17,114.55 and 6,813.02 is: 9,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.02 : 17,114.55 = 6,813.02 : x
  2. Step 2: Convert to fraction form
    12,402.02/17,114.55 = 6,813.02/x
  3. Step 3: Cross multiply
    12,402.02x = 17,114.55 × 6,813.02
  4. Step 4: Simplify right side
    12,402.02x = 116,601,771.44
  5. Step 5: Solve for x
    x = 116,601,771.44/12,402.02
  6. Step 6: Final answer
    x = 9,401.84

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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.