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Finding the Fourth Proportional to 13,189.77, 19,755.90 and 6,604.47

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Solution

The fourth proportional to 13,189.77, 19,755.90 and 6,604.47 is: 9,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.77 : 19,755.90 = 6,604.47 : x
  2. Step 2: Convert to fraction form
    13,189.77/19,755.90 = 6,604.47/x
  3. Step 3: Cross multiply
    13,189.77x = 19,755.90 × 6,604.47
  4. Step 4: Simplify right side
    13,189.77x = 130,477,248.87
  5. Step 5: Solve for x
    x = 130,477,248.87/13,189.77
  6. Step 6: Final answer
    x = 9,892.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.