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Finding the Fourth Proportional to 13,626.38, 18,805.95 and 7,577.22

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Solution

The fourth proportional to 13,626.38, 18,805.95 and 7,577.22 is: 10,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.38 : 18,805.95 = 7,577.22 : x
  2. Step 2: Convert to fraction form
    13,626.38/18,805.95 = 7,577.22/x
  3. Step 3: Cross multiply
    13,626.38x = 18,805.95 × 7,577.22
  4. Step 4: Simplify right side
    13,626.38x = 142,496,813.61
  5. Step 5: Solve for x
    x = 142,496,813.61/13,626.38
  6. Step 6: Final answer
    x = 10,457.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.