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Finding the Fourth Proportional to 16,057.08, 22,158.92 and 9,684

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Solution

The fourth proportional to 16,057.08, 22,158.92 and 9,684 is: 13,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.08 : 22,158.92 = 9,684 : x
  2. Step 2: Convert to fraction form
    16,057.08/22,158.92 = 9,684/x
  3. Step 3: Cross multiply
    16,057.08x = 22,158.92 × 9,684
  4. Step 4: Simplify right side
    16,057.08x = 214,586,981.28
  5. Step 5: Solve for x
    x = 214,586,981.28/16,057.08
  6. Step 6: Final answer
    x = 13,364.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.