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Finding the Fourth Proportional to 20,352.80, 30,514.80 and 9,264.80

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Solution

The fourth proportional to 20,352.80, 30,514.80 and 9,264.80 is: 13,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352.80 : 30,514.80 = 9,264.80 : x
  2. Step 2: Convert to fraction form
    20,352.80/30,514.80 = 9,264.80/x
  3. Step 3: Cross multiply
    20,352.80x = 30,514.80 × 9,264.80
  4. Step 4: Simplify right side
    20,352.80x = 282,713,519.04
  5. Step 5: Solve for x
    x = 282,713,519.04/20,352.80
  6. Step 6: Final answer
    x = 13,890.64

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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.