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Finding the Fourth Proportional to 19,982.48, 29,988.74 and 7,514.80

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Solution

The fourth proportional to 19,982.48, 29,988.74 and 7,514.80 is: 11,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.48 : 29,988.74 = 7,514.80 : x
  2. Step 2: Convert to fraction form
    19,982.48/29,988.74 = 7,514.80/x
  3. Step 3: Cross multiply
    19,982.48x = 29,988.74 × 7,514.80
  4. Step 4: Simplify right side
    19,982.48x = 225,359,383.35
  5. Step 5: Solve for x
    x = 225,359,383.35/19,982.48
  6. Step 6: Final answer
    x = 11,277.85

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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.