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Finding the Fourth Proportional to 17,382.96, 26,088 and 9,065.16

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Solution

The fourth proportional to 17,382.96, 26,088 and 9,065.16 is: 13,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.96 : 26,088 = 9,065.16 : x
  2. Step 2: Convert to fraction form
    17,382.96/26,088 = 9,065.16/x
  3. Step 3: Cross multiply
    17,382.96x = 26,088 × 9,065.16
  4. Step 4: Simplify right side
    17,382.96x = 236,491,894.08
  5. Step 5: Solve for x
    x = 236,491,894.08/17,382.96
  6. Step 6: Final answer
    x = 13,604.81

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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.