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Finding the Fourth Proportional to 12,689.10, 19,047.33 and 7,147.80

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Solution

The fourth proportional to 12,689.10, 19,047.33 and 7,147.80 is: 10,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.10 : 19,047.33 = 7,147.80 : x
  2. Step 2: Convert to fraction form
    12,689.10/19,047.33 = 7,147.80/x
  3. Step 3: Cross multiply
    12,689.10x = 19,047.33 × 7,147.80
  4. Step 4: Simplify right side
    12,689.10x = 136,146,505.37
  5. Step 5: Solve for x
    x = 136,146,505.37/12,689.10
  6. Step 6: Final answer
    x = 10,729.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.