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Finding the Fourth Proportional to 13,778.40, 19,013.64 and 7,811.31

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Solution

The fourth proportional to 13,778.40, 19,013.64 and 7,811.31 is: 10,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.40 : 19,013.64 = 7,811.31 : x
  2. Step 2: Convert to fraction form
    13,778.40/19,013.64 = 7,811.31/x
  3. Step 3: Cross multiply
    13,778.40x = 19,013.64 × 7,811.31
  4. Step 4: Simplify right side
    13,778.40x = 148,521,436.27
  5. Step 5: Solve for x
    x = 148,521,436.27/13,778.40
  6. Step 6: Final answer
    x = 10,779.29

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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.