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Finding the Fourth Proportional to 19,412.48, 29,133.84 and 13,530.80

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Solution

The fourth proportional to 19,412.48, 29,133.84 and 13,530.80 is: 20,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.48 : 29,133.84 = 13,530.80 : x
  2. Step 2: Convert to fraction form
    19,412.48/29,133.84 = 13,530.80/x
  3. Step 3: Cross multiply
    19,412.48x = 29,133.84 × 13,530.80
  4. Step 4: Simplify right side
    19,412.48x = 394,204,162.27
  5. Step 5: Solve for x
    x = 394,204,162.27/19,412.48
  6. Step 6: Final answer
    x = 20,306.74

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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.