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Finding the Fourth Proportional to 13,420.92, 18,522.18 and 7,755.96

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Solution

The fourth proportional to 13,420.92, 18,522.18 and 7,755.96 is: 10,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.92 : 18,522.18 = 7,755.96 : x
  2. Step 2: Convert to fraction form
    13,420.92/18,522.18 = 7,755.96/x
  3. Step 3: Cross multiply
    13,420.92x = 18,522.18 × 7,755.96
  4. Step 4: Simplify right side
    13,420.92x = 143,657,287.19
  5. Step 5: Solve for x
    x = 143,657,287.19/13,420.92
  6. Step 6: Final answer
    x = 10,703.98

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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.