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Finding the Fourth Proportional to 17,642.92, 26,477.34 and 8,869

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Solution

The fourth proportional to 17,642.92, 26,477.34 and 8,869 is: 13,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.92 : 26,477.34 = 8,869 : x
  2. Step 2: Convert to fraction form
    17,642.92/26,477.34 = 8,869/x
  3. Step 3: Cross multiply
    17,642.92x = 26,477.34 × 8,869
  4. Step 4: Simplify right side
    17,642.92x = 234,827,528.46
  5. Step 5: Solve for x
    x = 234,827,528.46/17,642.92
  6. Step 6: Final answer
    x = 13,310.01

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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.