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Finding the Fourth Proportional to 13,184.40, 18,186.75 and 7,804.98

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Solution

The fourth proportional to 13,184.40, 18,186.75 and 7,804.98 is: 10,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.40 : 18,186.75 = 7,804.98 : x
  2. Step 2: Convert to fraction form
    13,184.40/18,186.75 = 7,804.98/x
  3. Step 3: Cross multiply
    13,184.40x = 18,186.75 × 7,804.98
  4. Step 4: Simplify right side
    13,184.40x = 141,947,220.02
  5. Step 5: Solve for x
    x = 141,947,220.02/13,184.40
  6. Step 6: Final answer
    x = 10,766.30

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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.