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Finding the Fourth Proportional to 14,209.20, 19,566.90 and 9,728.28

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Solution

The fourth proportional to 14,209.20, 19,566.90 and 9,728.28 is: 13,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.20 : 19,566.90 = 9,728.28 : x
  2. Step 2: Convert to fraction form
    14,209.20/19,566.90 = 9,728.28/x
  3. Step 3: Cross multiply
    14,209.20x = 19,566.90 × 9,728.28
  4. Step 4: Simplify right side
    14,209.20x = 190,352,281.93
  5. Step 5: Solve for x
    x = 190,352,281.93/14,209.20
  6. Step 6: Final answer
    x = 13,396.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.