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Finding the Fourth Proportional to 12,886.31, 17,783.54 and 12,295.82

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Solution

The fourth proportional to 12,886.31, 17,783.54 and 12,295.82 is: 16,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.31 : 17,783.54 = 12,295.82 : x
  2. Step 2: Convert to fraction form
    12,886.31/17,783.54 = 12,295.82/x
  3. Step 3: Cross multiply
    12,886.31x = 17,783.54 × 12,295.82
  4. Step 4: Simplify right side
    12,886.31x = 218,663,056.41
  5. Step 5: Solve for x
    x = 218,663,056.41/12,886.31
  6. Step 6: Final answer
    x = 16,968.64

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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.