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Finding the Fourth Proportional to 21,735.40, 32,614.04 and 16,199.86

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Solution

The fourth proportional to 21,735.40, 32,614.04 and 16,199.86 is: 24,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.40 : 32,614.04 = 16,199.86 : x
  2. Step 2: Convert to fraction form
    21,735.40/32,614.04 = 16,199.86/x
  3. Step 3: Cross multiply
    21,735.40x = 32,614.04 × 16,199.86
  4. Step 4: Simplify right side
    21,735.40x = 528,342,882.03
  5. Step 5: Solve for x
    x = 528,342,882.03/21,735.40
  6. Step 6: Final answer
    x = 24,307.94

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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.