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Finding the Fourth Proportional to 12,688.89, 17,506.64 and 7,382.68

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Solution

The fourth proportional to 12,688.89, 17,506.64 and 7,382.68 is: 10,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.89 : 17,506.64 = 7,382.68 : x
  2. Step 2: Convert to fraction form
    12,688.89/17,506.64 = 7,382.68/x
  3. Step 3: Cross multiply
    12,688.89x = 17,506.64 × 7,382.68
  4. Step 4: Simplify right side
    12,688.89x = 129,245,854.16
  5. Step 5: Solve for x
    x = 129,245,854.16/12,688.89
  6. Step 6: Final answer
    x = 10,185.75

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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.