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Finding the Fourth Proportional to 17,577.75, 26,365.83 and 5,097.49

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Solution

The fourth proportional to 17,577.75, 26,365.83 and 5,097.49 is: 7,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.75 : 26,365.83 = 5,097.49 : x
  2. Step 2: Convert to fraction form
    17,577.75/26,365.83 = 5,097.49/x
  3. Step 3: Cross multiply
    17,577.75x = 26,365.83 × 5,097.49
  4. Step 4: Simplify right side
    17,577.75x = 134,399,554.77
  5. Step 5: Solve for x
    x = 134,399,554.77/17,577.75
  6. Step 6: Final answer
    x = 7,646.00

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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.