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Finding the Fourth Proportional to 19,415.79, 29,123.70 and 8,315.31

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Solution

The fourth proportional to 19,415.79, 29,123.70 and 8,315.31 is: 12,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415.79 : 29,123.70 = 8,315.31 : x
  2. Step 2: Convert to fraction form
    19,415.79/29,123.70 = 8,315.31/x
  3. Step 3: Cross multiply
    19,415.79x = 29,123.70 × 8,315.31
  4. Step 4: Simplify right side
    19,415.79x = 242,172,593.85
  5. Step 5: Solve for x
    x = 242,172,593.85/19,415.79
  6. Step 6: Final answer
    x = 12,472.97

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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.