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Finding the Fourth Proportional to 12,920.56, 17,833.15 and 7,883.70

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Solution

The fourth proportional to 12,920.56, 17,833.15 and 7,883.70 is: 10,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.56 : 17,833.15 = 7,883.70 : x
  2. Step 2: Convert to fraction form
    12,920.56/17,833.15 = 7,883.70/x
  3. Step 3: Cross multiply
    12,920.56x = 17,833.15 × 7,883.70
  4. Step 4: Simplify right side
    12,920.56x = 140,591,214.51
  5. Step 5: Solve for x
    x = 140,591,214.51/12,920.56
  6. Step 6: Final answer
    x = 10,881.20

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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.