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Finding the Fourth Proportional to 12,892.31, 17,786.08 and 7,854.70

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Solution

The fourth proportional to 12,892.31, 17,786.08 and 7,854.70 is: 10,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.31 : 17,786.08 = 7,854.70 : x
  2. Step 2: Convert to fraction form
    12,892.31/17,786.08 = 7,854.70/x
  3. Step 3: Cross multiply
    12,892.31x = 17,786.08 × 7,854.70
  4. Step 4: Simplify right side
    12,892.31x = 139,704,322.58
  5. Step 5: Solve for x
    x = 139,704,322.58/12,892.31
  6. Step 6: Final answer
    x = 10,836.25

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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.