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Finding the Fourth Proportional to 19,502.87, 29,270.70 and 8,417.84

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Solution

The fourth proportional to 19,502.87, 29,270.70 and 8,417.84 is: 12,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.87 : 29,270.70 = 8,417.84 : x
  2. Step 2: Convert to fraction form
    19,502.87/29,270.70 = 8,417.84/x
  3. Step 3: Cross multiply
    19,502.87x = 29,270.70 × 8,417.84
  4. Step 4: Simplify right side
    19,502.87x = 246,395,922.93
  5. Step 5: Solve for x
    x = 246,395,922.93/19,502.87
  6. Step 6: Final answer
    x = 12,633.83

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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.