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Finding the Fourth Proportional to 14,500.80, 21,751.20 and 9,892.80

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Solution

The fourth proportional to 14,500.80, 21,751.20 and 9,892.80 is: 14,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.80 : 21,751.20 = 9,892.80 : x
  2. Step 2: Convert to fraction form
    14,500.80/21,751.20 = 9,892.80/x
  3. Step 3: Cross multiply
    14,500.80x = 21,751.20 × 9,892.80
  4. Step 4: Simplify right side
    14,500.80x = 215,180,271.36
  5. Step 5: Solve for x
    x = 215,180,271.36/14,500.80
  6. Step 6: Final answer
    x = 14,839.20

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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.