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Finding the Fourth Proportional to 12,645.68, 17,450.48 and 7,340.16

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Solution

The fourth proportional to 12,645.68, 17,450.48 and 7,340.16 is: 10,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.68 : 17,450.48 = 7,340.16 : x
  2. Step 2: Convert to fraction form
    12,645.68/17,450.48 = 7,340.16/x
  3. Step 3: Cross multiply
    12,645.68x = 17,450.48 × 7,340.16
  4. Step 4: Simplify right side
    12,645.68x = 128,089,315.28
  5. Step 5: Solve for x
    x = 128,089,315.28/12,645.68
  6. Step 6: Final answer
    x = 10,129.10

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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.