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Finding the Fourth Proportional to 12,989.84, 17,921.75 and 7,948.80

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Solution

The fourth proportional to 12,989.84, 17,921.75 and 7,948.80 is: 10,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.84 : 17,921.75 = 7,948.80 : x
  2. Step 2: Convert to fraction form
    12,989.84/17,921.75 = 7,948.80/x
  3. Step 3: Cross multiply
    12,989.84x = 17,921.75 × 7,948.80
  4. Step 4: Simplify right side
    12,989.84x = 142,456,406.40
  5. Step 5: Solve for x
    x = 142,456,406.40/12,989.84
  6. Step 6: Final answer
    x = 10,966.76

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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.