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Finding the Fourth Proportional to 19,471.26, 29,218.14 and 8,225.76

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Solution

The fourth proportional to 19,471.26, 29,218.14 and 8,225.76 is: 12,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.26 : 29,218.14 = 8,225.76 : x
  2. Step 2: Convert to fraction form
    19,471.26/29,218.14 = 8,225.76/x
  3. Step 3: Cross multiply
    19,471.26x = 29,218.14 × 8,225.76
  4. Step 4: Simplify right side
    19,471.26x = 240,341,407.29
  5. Step 5: Solve for x
    x = 240,341,407.29/19,471.26
  6. Step 6: Final answer
    x = 12,343.39

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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.