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Finding the Fourth Proportional to 17,585.29, 26,369.43 and 6,497.20

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Solution

The fourth proportional to 17,585.29, 26,369.43 and 6,497.20 is: 9,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.29 : 26,369.43 = 6,497.20 : x
  2. Step 2: Convert to fraction form
    17,585.29/26,369.43 = 6,497.20/x
  3. Step 3: Cross multiply
    17,585.29x = 26,369.43 × 6,497.20
  4. Step 4: Simplify right side
    17,585.29x = 171,327,460.60
  5. Step 5: Solve for x
    x = 171,327,460.60/17,585.29
  6. Step 6: Final answer
    x = 9,742.66

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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.