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Finding the Fourth Proportional to 12,946.92, 17,865.06 and 7,357.80

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Solution

The fourth proportional to 12,946.92, 17,865.06 and 7,357.80 is: 10,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.92 : 17,865.06 = 7,357.80 : x
  2. Step 2: Convert to fraction form
    12,946.92/17,865.06 = 7,357.80/x
  3. Step 3: Cross multiply
    12,946.92x = 17,865.06 × 7,357.80
  4. Step 4: Simplify right side
    12,946.92x = 131,447,538.47
  5. Step 5: Solve for x
    x = 131,447,538.47/12,946.92
  6. Step 6: Final answer
    x = 10,152.80

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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.