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Finding the Fourth Proportional to 17,513.84, 24,169.36 and 9,556.50

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Solution

The fourth proportional to 17,513.84, 24,169.36 and 9,556.50 is: 13,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,513.84 : 24,169.36 = 9,556.50 : x
  2. Step 2: Convert to fraction form
    17,513.84/24,169.36 = 9,556.50/x
  3. Step 3: Cross multiply
    17,513.84x = 24,169.36 × 9,556.50
  4. Step 4: Simplify right side
    17,513.84x = 230,974,488.84
  5. Step 5: Solve for x
    x = 230,974,488.84/17,513.84
  6. Step 6: Final answer
    x = 13,188.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.