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Finding the Fourth Proportional to 17,206.10, 23,742.98 and 9,651.38

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Solution

The fourth proportional to 17,206.10, 23,742.98 and 9,651.38 is: 13,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.10 : 23,742.98 = 9,651.38 : x
  2. Step 2: Convert to fraction form
    17,206.10/23,742.98 = 9,651.38/x
  3. Step 3: Cross multiply
    17,206.10x = 23,742.98 × 9,651.38
  4. Step 4: Simplify right side
    17,206.10x = 229,152,522.31
  5. Step 5: Solve for x
    x = 229,152,522.31/17,206.10
  6. Step 6: Final answer
    x = 13,318.10

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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.