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Finding the Fourth Proportional to 12,946.57, 17,865.63 and 7,282.24

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Solution

The fourth proportional to 12,946.57, 17,865.63 and 7,282.24 is: 10,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.57 : 17,865.63 = 7,282.24 : x
  2. Step 2: Convert to fraction form
    12,946.57/17,865.63 = 7,282.24/x
  3. Step 3: Cross multiply
    12,946.57x = 17,865.63 × 7,282.24
  4. Step 4: Simplify right side
    12,946.57x = 130,101,760.75
  5. Step 5: Solve for x
    x = 130,101,760.75/12,946.57
  6. Step 6: Final answer
    x = 10,049.13

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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.