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Finding the Fourth Proportional to 13,017.50, 19,513.94 and 11,824.22

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Solution

The fourth proportional to 13,017.50, 19,513.94 and 11,824.22 is: 17,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.50 : 19,513.94 = 11,824.22 : x
  2. Step 2: Convert to fraction form
    13,017.50/19,513.94 = 11,824.22/x
  3. Step 3: Cross multiply
    13,017.50x = 19,513.94 × 11,824.22
  4. Step 4: Simplify right side
    13,017.50x = 230,736,962.94
  5. Step 5: Solve for x
    x = 230,736,962.94/13,017.50
  6. Step 6: Final answer
    x = 17,725.14

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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.