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Finding the Fourth Proportional to 12,688.76, 17,508.40 and 7,969.68

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Solution

The fourth proportional to 12,688.76, 17,508.40 and 7,969.68 is: 10,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.76 : 17,508.40 = 7,969.68 : x
  2. Step 2: Convert to fraction form
    12,688.76/17,508.40 = 7,969.68/x
  3. Step 3: Cross multiply
    12,688.76x = 17,508.40 × 7,969.68
  4. Step 4: Simplify right side
    12,688.76x = 139,536,345.31
  5. Step 5: Solve for x
    x = 139,536,345.31/12,688.76
  6. Step 6: Final answer
    x = 10,996.85

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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.