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Finding the Fourth Proportional to 13,784.27, 19,028.77 and 8,117.21

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Solution

The fourth proportional to 13,784.27, 19,028.77 and 8,117.21 is: 11,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.27 : 19,028.77 = 8,117.21 : x
  2. Step 2: Convert to fraction form
    13,784.27/19,028.77 = 8,117.21/x
  3. Step 3: Cross multiply
    13,784.27x = 19,028.77 × 8,117.21
  4. Step 4: Simplify right side
    13,784.27x = 154,460,549.41
  5. Step 5: Solve for x
    x = 154,460,549.41/13,784.27
  6. Step 6: Final answer
    x = 11,205.57

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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.