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Finding the Fourth Proportional to 12,743.99, 17,586.83 and 7,437.78

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Solution

The fourth proportional to 12,743.99, 17,586.83 and 7,437.78 is: 10,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.99 : 17,586.83 = 7,437.78 : x
  2. Step 2: Convert to fraction form
    12,743.99/17,586.83 = 7,437.78/x
  3. Step 3: Cross multiply
    12,743.99x = 17,586.83 × 7,437.78
  4. Step 4: Simplify right side
    12,743.99x = 130,806,935.25
  5. Step 5: Solve for x
    x = 130,806,935.25/12,743.99
  6. Step 6: Final answer
    x = 10,264.20

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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.