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Finding the Fourth Proportional to 13,151.94, 19,723.05 and 5,356.50

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Solution

The fourth proportional to 13,151.94, 19,723.05 and 5,356.50 is: 8,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.94 : 19,723.05 = 5,356.50 : x
  2. Step 2: Convert to fraction form
    13,151.94/19,723.05 = 5,356.50/x
  3. Step 3: Cross multiply
    13,151.94x = 19,723.05 × 5,356.50
  4. Step 4: Simplify right side
    13,151.94x = 105,646,517.33
  5. Step 5: Solve for x
    x = 105,646,517.33/13,151.94
  6. Step 6: Final answer
    x = 8,032.77

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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.