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Finding the Fourth Proportional to 12,917.19, 17,826.75 and 7,252.31

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Solution

The fourth proportional to 12,917.19, 17,826.75 and 7,252.31 is: 10,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.19 : 17,826.75 = 7,252.31 : x
  2. Step 2: Convert to fraction form
    12,917.19/17,826.75 = 7,252.31/x
  3. Step 3: Cross multiply
    12,917.19x = 17,826.75 × 7,252.31
  4. Step 4: Simplify right side
    12,917.19x = 129,285,117.29
  5. Step 5: Solve for x
    x = 129,285,117.29/12,917.19
  6. Step 6: Final answer
    x = 10,008.76

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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.