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Finding the Fourth Proportional to 12,433.57, 17,145.43 and 9,601.40

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Solution

The fourth proportional to 12,433.57, 17,145.43 and 9,601.40 is: 13,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.57 : 17,145.43 = 9,601.40 : x
  2. Step 2: Convert to fraction form
    12,433.57/17,145.43 = 9,601.40/x
  3. Step 3: Cross multiply
    12,433.57x = 17,145.43 × 9,601.40
  4. Step 4: Simplify right side
    12,433.57x = 164,620,150.46
  5. Step 5: Solve for x
    x = 164,620,150.46/12,433.57
  6. Step 6: Final answer
    x = 13,239.98

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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.