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Finding the Fourth Proportional to 12,635.14, 17,436.51 and 6,969.76

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Solution

The fourth proportional to 12,635.14, 17,436.51 and 6,969.76 is: 9,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.14 : 17,436.51 = 6,969.76 : x
  2. Step 2: Convert to fraction form
    12,635.14/17,436.51 = 6,969.76/x
  3. Step 3: Cross multiply
    12,635.14x = 17,436.51 × 6,969.76
  4. Step 4: Simplify right side
    12,635.14x = 121,528,289.94
  5. Step 5: Solve for x
    x = 121,528,289.94/12,635.14
  6. Step 6: Final answer
    x = 9,618.28

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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.