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Finding the Fourth Proportional to 17,206.17, 25,816.56 and 9,405.87

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Solution

The fourth proportional to 17,206.17, 25,816.56 and 9,405.87 is: 14,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.17 : 25,816.56 = 9,405.87 : x
  2. Step 2: Convert to fraction form
    17,206.17/25,816.56 = 9,405.87/x
  3. Step 3: Cross multiply
    17,206.17x = 25,816.56 × 9,405.87
  4. Step 4: Simplify right side
    17,206.17x = 242,827,207.21
  5. Step 5: Solve for x
    x = 242,827,207.21/17,206.17
  6. Step 6: Final answer
    x = 14,112.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.