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Finding the Fourth Proportional to 17,284.81, 25,937.27 and 7,288.93

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Solution

The fourth proportional to 17,284.81, 25,937.27 and 7,288.93 is: 10,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.81 : 25,937.27 = 7,288.93 : x
  2. Step 2: Convert to fraction form
    17,284.81/25,937.27 = 7,288.93/x
  3. Step 3: Cross multiply
    17,284.81x = 25,937.27 × 7,288.93
  4. Step 4: Simplify right side
    17,284.81x = 189,054,945.42
  5. Step 5: Solve for x
    x = 189,054,945.42/17,284.81
  6. Step 6: Final answer
    x = 10,937.64

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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.