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Finding the Fourth Proportional to 13,184.01, 19,776.11 and 5,392.82

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Solution

The fourth proportional to 13,184.01, 19,776.11 and 5,392.82 is: 8,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.01 : 19,776.11 = 5,392.82 : x
  2. Step 2: Convert to fraction form
    13,184.01/19,776.11 = 5,392.82/x
  3. Step 3: Cross multiply
    13,184.01x = 19,776.11 × 5,392.82
  4. Step 4: Simplify right side
    13,184.01x = 106,649,024.01
  5. Step 5: Solve for x
    x = 106,649,024.01/13,184.01
  6. Step 6: Final answer
    x = 8,089.27

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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.