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Finding the Fourth Proportional to 14,151.27, 19,530.49 and 8,103.77

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Solution

The fourth proportional to 14,151.27, 19,530.49 and 8,103.77 is: 11,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.27 : 19,530.49 = 8,103.77 : x
  2. Step 2: Convert to fraction form
    14,151.27/19,530.49 = 8,103.77/x
  3. Step 3: Cross multiply
    14,151.27x = 19,530.49 × 8,103.77
  4. Step 4: Simplify right side
    14,151.27x = 158,270,501.29
  5. Step 5: Solve for x
    x = 158,270,501.29/14,151.27
  6. Step 6: Final answer
    x = 11,184.19

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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.