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Finding the Fourth Proportional to 12,826.13, 17,702.46 and 7,520.94

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Solution

The fourth proportional to 12,826.13, 17,702.46 and 7,520.94 is: 10,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.13 : 17,702.46 = 7,520.94 : x
  2. Step 2: Convert to fraction form
    12,826.13/17,702.46 = 7,520.94/x
  3. Step 3: Cross multiply
    12,826.13x = 17,702.46 × 7,520.94
  4. Step 4: Simplify right side
    12,826.13x = 133,139,139.51
  5. Step 5: Solve for x
    x = 133,139,139.51/12,826.13
  6. Step 6: Final answer
    x = 10,380.31

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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.