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Finding the Fourth Proportional to 27,982.60, 41,973.90 and 9,514.60

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Solution

The fourth proportional to 27,982.60, 41,973.90 and 9,514.60 is: 14,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.60 : 41,973.90 = 9,514.60 : x
  2. Step 2: Convert to fraction form
    27,982.60/41,973.90 = 9,514.60/x
  3. Step 3: Cross multiply
    27,982.60x = 41,973.90 × 9,514.60
  4. Step 4: Simplify right side
    27,982.60x = 399,364,868.94
  5. Step 5: Solve for x
    x = 399,364,868.94/27,982.60
  6. Step 6: Final answer
    x = 14,271.90

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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.