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Finding the Fourth Proportional to 12,420.15, 17,131.12 and 8,434.34

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Solution

The fourth proportional to 12,420.15, 17,131.12 and 8,434.34 is: 11,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.15 : 17,131.12 = 8,434.34 : x
  2. Step 2: Convert to fraction form
    12,420.15/17,131.12 = 8,434.34/x
  3. Step 3: Cross multiply
    12,420.15x = 17,131.12 × 8,434.34
  4. Step 4: Simplify right side
    12,420.15x = 144,489,690.66
  5. Step 5: Solve for x
    x = 144,489,690.66/12,420.15
  6. Step 6: Final answer
    x = 11,633.49

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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.