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Finding the Fourth Proportional to 12,603, 17,385.96 and 7,564.80

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Solution

The fourth proportional to 12,603, 17,385.96 and 7,564.80 is: 10,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603 : 17,385.96 = 7,564.80 : x
  2. Step 2: Convert to fraction form
    12,603/17,385.96 = 7,564.80/x
  3. Step 3: Cross multiply
    12,603x = 17,385.96 × 7,564.80
  4. Step 4: Simplify right side
    12,603x = 131,521,310.21
  5. Step 5: Solve for x
    x = 131,521,310.21/12,603
  6. Step 6: Final answer
    x = 10,435.71

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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.