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Finding the Fourth Proportional to 12,569.67, 17,348.04 and 7,264.35

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Solution

The fourth proportional to 12,569.67, 17,348.04 and 7,264.35 is: 10,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.67 : 17,348.04 = 7,264.35 : x
  2. Step 2: Convert to fraction form
    12,569.67/17,348.04 = 7,264.35/x
  3. Step 3: Cross multiply
    12,569.67x = 17,348.04 × 7,264.35
  4. Step 4: Simplify right side
    12,569.67x = 126,022,234.37
  5. Step 5: Solve for x
    x = 126,022,234.37/12,569.67
  6. Step 6: Final answer
    x = 10,025.90

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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.