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Finding the Fourth Proportional to 12,780.99, 17,645.85 and 9,791.28

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Solution

The fourth proportional to 12,780.99, 17,645.85 and 9,791.28 is: 13,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.99 : 17,645.85 = 9,791.28 : x
  2. Step 2: Convert to fraction form
    12,780.99/17,645.85 = 9,791.28/x
  3. Step 3: Cross multiply
    12,780.99x = 17,645.85 × 9,791.28
  4. Step 4: Simplify right side
    12,780.99x = 172,775,458.19
  5. Step 5: Solve for x
    x = 172,775,458.19/12,780.99
  6. Step 6: Final answer
    x = 13,518.16

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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.