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Finding the Fourth Proportional to 12,415.83, 17,135.60 and 7,701.63

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Solution

The fourth proportional to 12,415.83, 17,135.60 and 7,701.63 is: 10,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.83 : 17,135.60 = 7,701.63 : x
  2. Step 2: Convert to fraction form
    12,415.83/17,135.60 = 7,701.63/x
  3. Step 3: Cross multiply
    12,415.83x = 17,135.60 × 7,701.63
  4. Step 4: Simplify right side
    12,415.83x = 131,972,012.52
  5. Step 5: Solve for x
    x = 131,972,012.52/12,415.83
  6. Step 6: Final answer
    x = 10,629.33

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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.