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Finding the Fourth Proportional to 14,276.73, 19,700.49 and 8,309.19

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Solution

The fourth proportional to 14,276.73, 19,700.49 and 8,309.19 is: 11,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.73 : 19,700.49 = 8,309.19 : x
  2. Step 2: Convert to fraction form
    14,276.73/19,700.49 = 8,309.19/x
  3. Step 3: Cross multiply
    14,276.73x = 19,700.49 × 8,309.19
  4. Step 4: Simplify right side
    14,276.73x = 163,695,114.50
  5. Step 5: Solve for x
    x = 163,695,114.50/14,276.73
  6. Step 6: Final answer
    x = 11,465.87

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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.