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Finding the Fourth Proportional to 15,884.80, 23,827.20 and 6,020.80

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Solution

The fourth proportional to 15,884.80, 23,827.20 and 6,020.80 is: 9,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.80 : 23,827.20 = 6,020.80 : x
  2. Step 2: Convert to fraction form
    15,884.80/23,827.20 = 6,020.80/x
  3. Step 3: Cross multiply
    15,884.80x = 23,827.20 × 6,020.80
  4. Step 4: Simplify right side
    15,884.80x = 143,458,805.76
  5. Step 5: Solve for x
    x = 143,458,805.76/15,884.80
  6. Step 6: Final answer
    x = 9,031.20

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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.