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Finding the Fourth Proportional to 17,585.42, 26,369.62 and 6,497.33

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Solution

The fourth proportional to 17,585.42, 26,369.62 and 6,497.33 is: 9,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.42 : 26,369.62 = 6,497.33 : x
  2. Step 2: Convert to fraction form
    17,585.42/26,369.62 = 6,497.33/x
  3. Step 3: Cross multiply
    17,585.42x = 26,369.62 × 6,497.33
  4. Step 4: Simplify right side
    17,585.42x = 171,331,975.02
  5. Step 5: Solve for x
    x = 171,331,975.02/17,585.42
  6. Step 6: Final answer
    x = 9,742.85

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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.