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Finding the Fourth Proportional to 12,434.94, 17,162.52 and 7,129.80

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Solution

The fourth proportional to 12,434.94, 17,162.52 and 7,129.80 is: 9,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.94 : 17,162.52 = 7,129.80 : x
  2. Step 2: Convert to fraction form
    12,434.94/17,162.52 = 7,129.80/x
  3. Step 3: Cross multiply
    12,434.94x = 17,162.52 × 7,129.80
  4. Step 4: Simplify right side
    12,434.94x = 122,365,335.10
  5. Step 5: Solve for x
    x = 122,365,335.10/12,434.94
  6. Step 6: Final answer
    x = 9,840.44

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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.