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Finding the Fourth Proportional to 12,442.94, 17,170.12 and 7,406.36

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Solution

The fourth proportional to 12,442.94, 17,170.12 and 7,406.36 is: 10,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.94 : 17,170.12 = 7,406.36 : x
  2. Step 2: Convert to fraction form
    12,442.94/17,170.12 = 7,406.36/x
  3. Step 3: Cross multiply
    12,442.94x = 17,170.12 × 7,406.36
  4. Step 4: Simplify right side
    12,442.94x = 127,168,052.93
  5. Step 5: Solve for x
    x = 127,168,052.93/12,442.94
  6. Step 6: Final answer
    x = 10,220.10

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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.