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Finding the Fourth Proportional to 13,665.90, 20,473.34 and 7,804.74

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Solution

The fourth proportional to 13,665.90, 20,473.34 and 7,804.74 is: 11,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.90 : 20,473.34 = 7,804.74 : x
  2. Step 2: Convert to fraction form
    13,665.90/20,473.34 = 7,804.74/x
  3. Step 3: Cross multiply
    13,665.90x = 20,473.34 × 7,804.74
  4. Step 4: Simplify right side
    13,665.90x = 159,789,056.61
  5. Step 5: Solve for x
    x = 159,789,056.61/13,665.90
  6. Step 6: Final answer
    x = 11,692.54

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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.