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Finding the Fourth Proportional to 12,920.39, 17,832.09 and 7,887.54

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Solution

The fourth proportional to 12,920.39, 17,832.09 and 7,887.54 is: 10,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.39 : 17,832.09 = 7,887.54 : x
  2. Step 2: Convert to fraction form
    12,920.39/17,832.09 = 7,887.54/x
  3. Step 3: Cross multiply
    12,920.39x = 17,832.09 × 7,887.54
  4. Step 4: Simplify right side
    12,920.39x = 140,651,419.61
  5. Step 5: Solve for x
    x = 140,651,419.61/12,920.39
  6. Step 6: Final answer
    x = 10,886.00

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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.