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Finding the Fourth Proportional to 16,465, 24,697.50 and 4,153

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Solution

The fourth proportional to 16,465, 24,697.50 and 4,153 is: 6,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465 : 24,697.50 = 4,153 : x
  2. Step 2: Convert to fraction form
    16,465/24,697.50 = 4,153/x
  3. Step 3: Cross multiply
    16,465x = 24,697.50 × 4,153
  4. Step 4: Simplify right side
    16,465x = 102,568,717.50
  5. Step 5: Solve for x
    x = 102,568,717.50/16,465
  6. Step 6: Final answer
    x = 6,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.