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Finding the Fourth Proportional to 12,602.10, 17,372.68 and 8,346.02

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Solution

The fourth proportional to 12,602.10, 17,372.68 and 8,346.02 is: 11,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.10 : 17,372.68 = 8,346.02 : x
  2. Step 2: Convert to fraction form
    12,602.10/17,372.68 = 8,346.02/x
  3. Step 3: Cross multiply
    12,602.10x = 17,372.68 × 8,346.02
  4. Step 4: Simplify right side
    12,602.10x = 144,992,734.73
  5. Step 5: Solve for x
    x = 144,992,734.73/12,602.10
  6. Step 6: Final answer
    x = 11,505.44

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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.