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Finding the Fourth Proportional to 13,123.40, 19,685.10 and 7,939.40

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Solution

The fourth proportional to 13,123.40, 19,685.10 and 7,939.40 is: 11,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.40 : 19,685.10 = 7,939.40 : x
  2. Step 2: Convert to fraction form
    13,123.40/19,685.10 = 7,939.40/x
  3. Step 3: Cross multiply
    13,123.40x = 19,685.10 × 7,939.40
  4. Step 4: Simplify right side
    13,123.40x = 156,287,882.94
  5. Step 5: Solve for x
    x = 156,287,882.94/13,123.40
  6. Step 6: Final answer
    x = 11,909.10

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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.