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Finding the Fourth Proportional to 12,989.14, 17,920.81 and 7,948.11

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Solution

The fourth proportional to 12,989.14, 17,920.81 and 7,948.11 is: 10,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.14 : 17,920.81 = 7,948.11 : x
  2. Step 2: Convert to fraction form
    12,989.14/17,920.81 = 7,948.11/x
  3. Step 3: Cross multiply
    12,989.14x = 17,920.81 × 7,948.11
  4. Step 4: Simplify right side
    12,989.14x = 142,436,569.17
  5. Step 5: Solve for x
    x = 142,436,569.17/12,989.14
  6. Step 6: Final answer
    x = 10,965.82

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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.