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Finding the Fourth Proportional to 13,535.79, 18,680.36 and 9,336.75

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Solution

The fourth proportional to 13,535.79, 18,680.36 and 9,336.75 is: 12,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.79 : 18,680.36 = 9,336.75 : x
  2. Step 2: Convert to fraction form
    13,535.79/18,680.36 = 9,336.75/x
  3. Step 3: Cross multiply
    13,535.79x = 18,680.36 × 9,336.75
  4. Step 4: Simplify right side
    13,535.79x = 174,413,804.55
  5. Step 5: Solve for x
    x = 174,413,804.55/13,535.79
  6. Step 6: Final answer
    x = 12,885.38

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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.