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Finding the Fourth Proportional to 13,584.17, 18,746.64 and 7,922.54

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Solution

The fourth proportional to 13,584.17, 18,746.64 and 7,922.54 is: 10,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.17 : 18,746.64 = 7,922.54 : x
  2. Step 2: Convert to fraction form
    13,584.17/18,746.64 = 7,922.54/x
  3. Step 3: Cross multiply
    13,584.17x = 18,746.64 × 7,922.54
  4. Step 4: Simplify right side
    13,584.17x = 148,521,052.13
  5. Step 5: Solve for x
    x = 148,521,052.13/13,584.17
  6. Step 6: Final answer
    x = 10,933.39

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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.