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Finding the Fourth Proportional to 12,604.30, 17,406.60 and 10,388.14

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Solution

The fourth proportional to 12,604.30, 17,406.60 and 10,388.14 is: 14,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.30 : 17,406.60 = 10,388.14 : x
  2. Step 2: Convert to fraction form
    12,604.30/17,406.60 = 10,388.14/x
  3. Step 3: Cross multiply
    12,604.30x = 17,406.60 × 10,388.14
  4. Step 4: Simplify right side
    12,604.30x = 180,822,197.72
  5. Step 5: Solve for x
    x = 180,822,197.72/12,604.30
  6. Step 6: Final answer
    x = 14,346.07

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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.