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Finding the Fourth Proportional to 12,983.68, 17,917.56 and 9,834.40

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Solution

The fourth proportional to 12,983.68, 17,917.56 and 9,834.40 is: 13,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.68 : 17,917.56 = 9,834.40 : x
  2. Step 2: Convert to fraction form
    12,983.68/17,917.56 = 9,834.40/x
  3. Step 3: Cross multiply
    12,983.68x = 17,917.56 × 9,834.40
  4. Step 4: Simplify right side
    12,983.68x = 176,208,452.06
  5. Step 5: Solve for x
    x = 176,208,452.06/12,983.68
  6. Step 6: Final answer
    x = 13,571.53

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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.