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Finding the Fourth Proportional to 12,401.64, 17,114.37 and 6,812.64

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Solution

The fourth proportional to 12,401.64, 17,114.37 and 6,812.64 is: 9,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.64 : 17,114.37 = 6,812.64 : x
  2. Step 2: Convert to fraction form
    12,401.64/17,114.37 = 6,812.64/x
  3. Step 3: Cross multiply
    12,401.64x = 17,114.37 × 6,812.64
  4. Step 4: Simplify right side
    12,401.64x = 116,594,041.64
  5. Step 5: Solve for x
    x = 116,594,041.64/12,401.64
  6. Step 6: Final answer
    x = 9,401.50

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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.