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Finding the Fourth Proportional to 14,230.80, 21,354.30 and 9,851.40

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Solution

The fourth proportional to 14,230.80, 21,354.30 and 9,851.40 is: 14,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.80 : 21,354.30 = 9,851.40 : x
  2. Step 2: Convert to fraction form
    14,230.80/21,354.30 = 9,851.40/x
  3. Step 3: Cross multiply
    14,230.80x = 21,354.30 × 9,851.40
  4. Step 4: Simplify right side
    14,230.80x = 210,369,751.02
  5. Step 5: Solve for x
    x = 210,369,751.02/14,230.80
  6. Step 6: Final answer
    x = 14,782.71

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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.