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Finding the Fourth Proportional to 12,494.21, 17,235.52 and 8,461.15

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Solution

The fourth proportional to 12,494.21, 17,235.52 and 8,461.15 is: 11,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.21 : 17,235.52 = 8,461.15 : x
  2. Step 2: Convert to fraction form
    12,494.21/17,235.52 = 8,461.15/x
  3. Step 3: Cross multiply
    12,494.21x = 17,235.52 × 8,461.15
  4. Step 4: Simplify right side
    12,494.21x = 145,832,255.81
  5. Step 5: Solve for x
    x = 145,832,255.81/12,494.21
  6. Step 6: Final answer
    x = 11,671.99

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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.