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Finding the Fourth Proportional to 12,646.93, 17,447.10 and 7,608.19

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Solution

The fourth proportional to 12,646.93, 17,447.10 and 7,608.19 is: 10,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.93 : 17,447.10 = 7,608.19 : x
  2. Step 2: Convert to fraction form
    12,646.93/17,447.10 = 7,608.19/x
  3. Step 3: Cross multiply
    12,646.93x = 17,447.10 × 7,608.19
  4. Step 4: Simplify right side
    12,646.93x = 132,740,851.75
  5. Step 5: Solve for x
    x = 132,740,851.75/12,646.93
  6. Step 6: Final answer
    x = 10,495.90

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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.