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Finding the Fourth Proportional to 12,405.25, 17,120.82 and 9,415.93

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Solution

The fourth proportional to 12,405.25, 17,120.82 and 9,415.93 is: 12,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.25 : 17,120.82 = 9,415.93 : x
  2. Step 2: Convert to fraction form
    12,405.25/17,120.82 = 9,415.93/x
  3. Step 3: Cross multiply
    12,405.25x = 17,120.82 × 9,415.93
  4. Step 4: Simplify right side
    12,405.25x = 161,208,442.66
  5. Step 5: Solve for x
    x = 161,208,442.66/12,405.25
  6. Step 6: Final answer
    x = 12,995.18

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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.