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Finding the Fourth Proportional to 12,713.10, 17,541.50 and 8,236.23

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Solution

The fourth proportional to 12,713.10, 17,541.50 and 8,236.23 is: 11,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.10 : 17,541.50 = 8,236.23 : x
  2. Step 2: Convert to fraction form
    12,713.10/17,541.50 = 8,236.23/x
  3. Step 3: Cross multiply
    12,713.10x = 17,541.50 × 8,236.23
  4. Step 4: Simplify right side
    12,713.10x = 144,475,787.36
  5. Step 5: Solve for x
    x = 144,475,787.36/12,713.10
  6. Step 6: Final answer
    x = 11,364.32

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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.