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Finding the Fourth Proportional to 17,006.66, 25,509 and 7,644.26

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Solution

The fourth proportional to 17,006.66, 25,509 and 7,644.26 is: 11,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.66 : 25,509 = 7,644.26 : x
  2. Step 2: Convert to fraction form
    17,006.66/25,509 = 7,644.26/x
  3. Step 3: Cross multiply
    17,006.66x = 25,509 × 7,644.26
  4. Step 4: Simplify right side
    17,006.66x = 194,997,428.34
  5. Step 5: Solve for x
    x = 194,997,428.34/17,006.66
  6. Step 6: Final answer
    x = 11,465.95

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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.