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Finding the Fourth Proportional to 13,193.52, 18,206.28 and 7,224

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Solution

The fourth proportional to 13,193.52, 18,206.28 and 7,224 is: 9,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.52 : 18,206.28 = 7,224 : x
  2. Step 2: Convert to fraction form
    13,193.52/18,206.28 = 7,224/x
  3. Step 3: Cross multiply
    13,193.52x = 18,206.28 × 7,224
  4. Step 4: Simplify right side
    13,193.52x = 131,522,166.72
  5. Step 5: Solve for x
    x = 131,522,166.72/13,193.52
  6. Step 6: Final answer
    x = 9,968.69

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Why These Related Problems?

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