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Finding the Fourth Proportional to 13,751.62, 18,904.27 and 11,830.42

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Solution

The fourth proportional to 13,751.62, 18,904.27 and 11,830.42 is: 16,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.62 : 18,904.27 = 11,830.42 : x
  2. Step 2: Convert to fraction form
    13,751.62/18,904.27 = 11,830.42/x
  3. Step 3: Cross multiply
    13,751.62x = 18,904.27 × 11,830.42
  4. Step 4: Simplify right side
    13,751.62x = 223,645,377.06
  5. Step 5: Solve for x
    x = 223,645,377.06/13,751.62
  6. Step 6: Final answer
    x = 16,263.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.