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Finding the Fourth Proportional to 21,344.72, 32,017.68 and 17,164.81

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Solution

The fourth proportional to 21,344.72, 32,017.68 and 17,164.81 is: 25,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.72 : 32,017.68 = 17,164.81 : x
  2. Step 2: Convert to fraction form
    21,344.72/32,017.68 = 17,164.81/x
  3. Step 3: Cross multiply
    21,344.72x = 32,017.68 × 17,164.81
  4. Step 4: Simplify right side
    21,344.72x = 549,577,433.86
  5. Step 5: Solve for x
    x = 549,577,433.86/21,344.72
  6. Step 6: Final answer
    x = 25,747.71

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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.