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Finding the Fourth Proportional to 16,023.65, 24,035.21 and 6,165.06

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Solution

The fourth proportional to 16,023.65, 24,035.21 and 6,165.06 is: 9,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.65 : 24,035.21 = 6,165.06 : x
  2. Step 2: Convert to fraction form
    16,023.65/24,035.21 = 6,165.06/x
  3. Step 3: Cross multiply
    16,023.65x = 24,035.21 × 6,165.06
  4. Step 4: Simplify right side
    16,023.65x = 148,178,531.78
  5. Step 5: Solve for x
    x = 148,178,531.78/16,023.65
  6. Step 6: Final answer
    x = 9,247.49

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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.