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Finding the Fourth Proportional to 17,263.12, 23,809.40 and 11,206.72

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Solution

The fourth proportional to 17,263.12, 23,809.40 and 11,206.72 is: 15,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.12 : 23,809.40 = 11,206.72 : x
  2. Step 2: Convert to fraction form
    17,263.12/23,809.40 = 11,206.72/x
  3. Step 3: Cross multiply
    17,263.12x = 23,809.40 × 11,206.72
  4. Step 4: Simplify right side
    17,263.12x = 266,825,279.17
  5. Step 5: Solve for x
    x = 266,825,279.17/17,263.12
  6. Step 6: Final answer
    x = 15,456.38

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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.