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Finding the Fourth Proportional to 12,708.86, 17,538.94 and 7,043.50

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Solution

The fourth proportional to 12,708.86, 17,538.94 and 7,043.50 is: 9,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.86 : 17,538.94 = 7,043.50 : x
  2. Step 2: Convert to fraction form
    12,708.86/17,538.94 = 7,043.50/x
  3. Step 3: Cross multiply
    12,708.86x = 17,538.94 × 7,043.50
  4. Step 4: Simplify right side
    12,708.86x = 123,535,523.89
  5. Step 5: Solve for x
    x = 123,535,523.89/12,708.86
  6. Step 6: Final answer
    x = 9,720.43

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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.