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Finding the Fourth Proportional to 17,685.39, 26,509.55 and 7,162.88

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Solution

The fourth proportional to 17,685.39, 26,509.55 and 7,162.88 is: 10,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.39 : 26,509.55 = 7,162.88 : x
  2. Step 2: Convert to fraction form
    17,685.39/26,509.55 = 7,162.88/x
  3. Step 3: Cross multiply
    17,685.39x = 26,509.55 × 7,162.88
  4. Step 4: Simplify right side
    17,685.39x = 189,884,557.14
  5. Step 5: Solve for x
    x = 189,884,557.14/17,685.39
  6. Step 6: Final answer
    x = 10,736.80

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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.