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Finding the Fourth Proportional to 13,769.22, 19,000.89 and 7,801.77

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Solution

The fourth proportional to 13,769.22, 19,000.89 and 7,801.77 is: 10,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.22 : 19,000.89 = 7,801.77 : x
  2. Step 2: Convert to fraction form
    13,769.22/19,000.89 = 7,801.77/x
  3. Step 3: Cross multiply
    13,769.22x = 19,000.89 × 7,801.77
  4. Step 4: Simplify right side
    13,769.22x = 148,240,573.58
  5. Step 5: Solve for x
    x = 148,240,573.58/13,769.22
  6. Step 6: Final answer
    x = 10,766.08

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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.