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Finding the Fourth Proportional to 13,778.71, 19,013.34 and 7,810.90

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Solution

The fourth proportional to 13,778.71, 19,013.34 and 7,810.90 is: 10,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.71 : 19,013.34 = 7,810.90 : x
  2. Step 2: Convert to fraction form
    13,778.71/19,013.34 = 7,810.90/x
  3. Step 3: Cross multiply
    13,778.71x = 19,013.34 × 7,810.90
  4. Step 4: Simplify right side
    13,778.71x = 148,511,297.41
  5. Step 5: Solve for x
    x = 148,511,297.41/13,778.71
  6. Step 6: Final answer
    x = 10,778.32

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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.