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Finding the Fourth Proportional to 12,354.10, 17,056.53 and 8,112.69

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Solution

The fourth proportional to 12,354.10, 17,056.53 and 8,112.69 is: 11,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.10 : 17,056.53 = 8,112.69 : x
  2. Step 2: Convert to fraction form
    12,354.10/17,056.53 = 8,112.69/x
  3. Step 3: Cross multiply
    12,354.10x = 17,056.53 × 8,112.69
  4. Step 4: Simplify right side
    12,354.10x = 138,374,340.37
  5. Step 5: Solve for x
    x = 138,374,340.37/12,354.10
  6. Step 6: Final answer
    x = 11,200.68

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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.