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Finding the Fourth Proportional to 12,646.50, 17,452.53 and 7,057.86

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Solution

The fourth proportional to 12,646.50, 17,452.53 and 7,057.86 is: 9,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.50 : 17,452.53 = 7,057.86 : x
  2. Step 2: Convert to fraction form
    12,646.50/17,452.53 = 7,057.86/x
  3. Step 3: Cross multiply
    12,646.50x = 17,452.53 × 7,057.86
  4. Step 4: Simplify right side
    12,646.50x = 123,177,513.39
  5. Step 5: Solve for x
    x = 123,177,513.39/12,646.50
  6. Step 6: Final answer
    x = 9,740.05

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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.