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Finding the Fourth Proportional to 19,735.20, 29,602.80 and 17,200.80

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Solution

The fourth proportional to 19,735.20, 29,602.80 and 17,200.80 is: 25,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.20 : 29,602.80 = 17,200.80 : x
  2. Step 2: Convert to fraction form
    19,735.20/29,602.80 = 17,200.80/x
  3. Step 3: Cross multiply
    19,735.20x = 29,602.80 × 17,200.80
  4. Step 4: Simplify right side
    19,735.20x = 509,191,842.24
  5. Step 5: Solve for x
    x = 509,191,842.24/19,735.20
  6. Step 6: Final answer
    x = 25,801.20

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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.