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Finding the Fourth Proportional to 12,635.96, 17,436.99 and 6,971.02

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Solution

The fourth proportional to 12,635.96, 17,436.99 and 6,971.02 is: 9,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.96 : 17,436.99 = 6,971.02 : x
  2. Step 2: Convert to fraction form
    12,635.96/17,436.99 = 6,971.02/x
  3. Step 3: Cross multiply
    12,635.96x = 17,436.99 × 6,971.02
  4. Step 4: Simplify right side
    12,635.96x = 121,553,588.58
  5. Step 5: Solve for x
    x = 121,553,588.58/12,635.96
  6. Step 6: Final answer
    x = 9,619.66

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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.