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Finding the Fourth Proportional to 12,707.43, 17,534.21 and 7,988.37

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Solution

The fourth proportional to 12,707.43, 17,534.21 and 7,988.37 is: 11,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.43 : 17,534.21 = 7,988.37 : x
  2. Step 2: Convert to fraction form
    12,707.43/17,534.21 = 7,988.37/x
  3. Step 3: Cross multiply
    12,707.43x = 17,534.21 × 7,988.37
  4. Step 4: Simplify right side
    12,707.43x = 140,069,703.32
  5. Step 5: Solve for x
    x = 140,069,703.32/12,707.43
  6. Step 6: Final answer
    x = 11,022.66

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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.