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Finding the Fourth Proportional to 13,184.63, 19,780.11 and 5,393.46

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Solution

The fourth proportional to 13,184.63, 19,780.11 and 5,393.46 is: 8,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.63 : 19,780.11 = 5,393.46 : x
  2. Step 2: Convert to fraction form
    13,184.63/19,780.11 = 5,393.46/x
  3. Step 3: Cross multiply
    13,184.63x = 19,780.11 × 5,393.46
  4. Step 4: Simplify right side
    13,184.63x = 106,683,232.08
  5. Step 5: Solve for x
    x = 106,683,232.08/13,184.63
  6. Step 6: Final answer
    x = 8,091.48

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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.