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Finding the Fourth Proportional to 12,673.16, 17,490.94 and 7,569.25

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Solution

The fourth proportional to 12,673.16, 17,490.94 and 7,569.25 is: 10,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.16 : 17,490.94 = 7,569.25 : x
  2. Step 2: Convert to fraction form
    12,673.16/17,490.94 = 7,569.25/x
  3. Step 3: Cross multiply
    12,673.16x = 17,490.94 × 7,569.25
  4. Step 4: Simplify right side
    12,673.16x = 132,393,234.94
  5. Step 5: Solve for x
    x = 132,393,234.94/12,673.16
  6. Step 6: Final answer
    x = 10,446.74

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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.