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Finding the Fourth Proportional to 11,707.20, 17,539.20 and 9,849.60

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Solution

The fourth proportional to 11,707.20, 17,539.20 and 9,849.60 is: 14,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.20 : 17,539.20 = 9,849.60 : x
  2. Step 2: Convert to fraction form
    11,707.20/17,539.20 = 9,849.60/x
  3. Step 3: Cross multiply
    11,707.20x = 17,539.20 × 9,849.60
  4. Step 4: Simplify right side
    11,707.20x = 172,754,104.32
  5. Step 5: Solve for x
    x = 172,754,104.32/11,707.20
  6. Step 6: Final answer
    x = 14,756.23

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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.