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Finding the Fourth Proportional to 17,409.84, 26,114.64 and 7,021.44

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Solution

The fourth proportional to 17,409.84, 26,114.64 and 7,021.44 is: 10,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.84 : 26,114.64 = 7,021.44 : x
  2. Step 2: Convert to fraction form
    17,409.84/26,114.64 = 7,021.44/x
  3. Step 3: Cross multiply
    17,409.84x = 26,114.64 × 7,021.44
  4. Step 4: Simplify right side
    17,409.84x = 183,362,377.88
  5. Step 5: Solve for x
    x = 183,362,377.88/17,409.84
  6. Step 6: Final answer
    x = 10,532.11

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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.