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Finding the Fourth Proportional to 17,036, 25,532.36 and 7,665.98

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Solution

The fourth proportional to 17,036, 25,532.36 and 7,665.98 is: 11,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036 : 25,532.36 = 7,665.98 : x
  2. Step 2: Convert to fraction form
    17,036/25,532.36 = 7,665.98/x
  3. Step 3: Cross multiply
    17,036x = 25,532.36 × 7,665.98
  4. Step 4: Simplify right side
    17,036x = 195,730,561.11
  5. Step 5: Solve for x
    x = 195,730,561.11/17,036
  6. Step 6: Final answer
    x = 11,489.23

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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.