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Finding the Fourth Proportional to 12,722.68, 19,066.25 and 10,838.76

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Solution

The fourth proportional to 12,722.68, 19,066.25 and 10,838.76 is: 16,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.68 : 19,066.25 = 10,838.76 : x
  2. Step 2: Convert to fraction form
    12,722.68/19,066.25 = 10,838.76/x
  3. Step 3: Cross multiply
    12,722.68x = 19,066.25 × 10,838.76
  4. Step 4: Simplify right side
    12,722.68x = 206,654,471.35
  5. Step 5: Solve for x
    x = 206,654,471.35/12,722.68
  6. Step 6: Final answer
    x = 16,242.99

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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.