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Finding the Fourth Proportional to 18,097, 27,070.46 and 16,991.08

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Solution

The fourth proportional to 18,097, 27,070.46 and 16,991.08 is: 25,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097 : 27,070.46 = 16,991.08 : x
  2. Step 2: Convert to fraction form
    18,097/27,070.46 = 16,991.08/x
  3. Step 3: Cross multiply
    18,097x = 27,070.46 × 16,991.08
  4. Step 4: Simplify right side
    18,097x = 459,956,351.50
  5. Step 5: Solve for x
    x = 459,956,351.50/18,097
  6. Step 6: Final answer
    x = 25,416.17

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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.