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Finding the Fourth Proportional to 17,285.81, 25,938.77 and 7,289.93

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Solution

The fourth proportional to 17,285.81, 25,938.77 and 7,289.93 is: 10,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.81 : 25,938.77 = 7,289.93 : x
  2. Step 2: Convert to fraction form
    17,285.81/25,938.77 = 7,289.93/x
  3. Step 3: Cross multiply
    17,285.81x = 25,938.77 × 7,289.93
  4. Step 4: Simplify right side
    17,285.81x = 189,091,817.59
  5. Step 5: Solve for x
    x = 189,091,817.59/17,285.81
  6. Step 6: Final answer
    x = 10,939.14

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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.