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Finding the Fourth Proportional to 12,401.52, 17,114.16 and 6,812.52

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Solution

The fourth proportional to 12,401.52, 17,114.16 and 6,812.52 is: 9,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.52 : 17,114.16 = 6,812.52 : x
  2. Step 2: Convert to fraction form
    12,401.52/17,114.16 = 6,812.52/x
  3. Step 3: Cross multiply
    12,401.52x = 17,114.16 × 6,812.52
  4. Step 4: Simplify right side
    12,401.52x = 116,590,557.28
  5. Step 5: Solve for x
    x = 116,590,557.28/12,401.52
  6. Step 6: Final answer
    x = 9,401.31

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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.