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Finding the Fourth Proportional to 16,465.34, 24,690 and 8,142.68

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Solution

The fourth proportional to 16,465.34, 24,690 and 8,142.68 is: 12,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.34 : 24,690 = 8,142.68 : x
  2. Step 2: Convert to fraction form
    16,465.34/24,690 = 8,142.68/x
  3. Step 3: Cross multiply
    16,465.34x = 24,690 × 8,142.68
  4. Step 4: Simplify right side
    16,465.34x = 201,042,769.20
  5. Step 5: Solve for x
    x = 201,042,769.20/16,465.34
  6. Step 6: Final answer
    x = 12,210.06

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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.