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Finding the Fourth Proportional to 13,184.25, 19,776.38 and 3,950.25

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Solution

The fourth proportional to 13,184.25, 19,776.38 and 3,950.25 is: 5,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.25 : 19,776.38 = 3,950.25 : x
  2. Step 2: Convert to fraction form
    13,184.25/19,776.38 = 3,950.25/x
  3. Step 3: Cross multiply
    13,184.25x = 19,776.38 × 3,950.25
  4. Step 4: Simplify right side
    13,184.25x = 78,121,625.34
  5. Step 5: Solve for x
    x = 78,121,625.34/13,184.25
  6. Step 6: Final answer
    x = 5,925.38

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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.