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Finding the Fourth Proportional to 17,097.72, 25,631.33 and 9,204.50

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Solution

The fourth proportional to 17,097.72, 25,631.33 and 9,204.50 is: 13,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.72 : 25,631.33 = 9,204.50 : x
  2. Step 2: Convert to fraction form
    17,097.72/25,631.33 = 9,204.50/x
  3. Step 3: Cross multiply
    17,097.72x = 25,631.33 × 9,204.50
  4. Step 4: Simplify right side
    17,097.72x = 235,923,402.81
  5. Step 5: Solve for x
    x = 235,923,402.81/17,097.72
  6. Step 6: Final answer
    x = 13,798.53

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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.