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Finding the Fourth Proportional to 12,606.42, 17,397 and 7,017.42

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Solution

The fourth proportional to 12,606.42, 17,397 and 7,017.42 is: 9,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.42 : 17,397 = 7,017.42 : x
  2. Step 2: Convert to fraction form
    12,606.42/17,397 = 7,017.42/x
  3. Step 3: Cross multiply
    12,606.42x = 17,397 × 7,017.42
  4. Step 4: Simplify right side
    12,606.42x = 122,082,055.74
  5. Step 5: Solve for x
    x = 122,082,055.74/12,606.42
  6. Step 6: Final answer
    x = 9,684.12

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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.