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Finding the Fourth Proportional to 19,502.30, 29,240.21 and 7,648.65

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Solution

The fourth proportional to 19,502.30, 29,240.21 and 7,648.65 is: 11,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.30 : 29,240.21 = 7,648.65 : x
  2. Step 2: Convert to fraction form
    19,502.30/29,240.21 = 7,648.65/x
  3. Step 3: Cross multiply
    19,502.30x = 29,240.21 × 7,648.65
  4. Step 4: Simplify right side
    19,502.30x = 223,648,151.34
  5. Step 5: Solve for x
    x = 223,648,151.34/19,502.30
  6. Step 6: Final answer
    x = 11,467.78

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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.