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Finding the Fourth Proportional to 12,645.36, 17,450.64 and 7,340.40

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Solution

The fourth proportional to 12,645.36, 17,450.64 and 7,340.40 is: 10,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.36 : 17,450.64 = 7,340.40 : x
  2. Step 2: Convert to fraction form
    12,645.36/17,450.64 = 7,340.40/x
  3. Step 3: Cross multiply
    12,645.36x = 17,450.64 × 7,340.40
  4. Step 4: Simplify right side
    12,645.36x = 128,094,677.86
  5. Step 5: Solve for x
    x = 128,094,677.86/12,645.36
  6. Step 6: Final answer
    x = 10,129.78

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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.