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Finding the Fourth Proportional to 13,185.38, 18,195.47 and 7,520.00

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Solution

The fourth proportional to 13,185.38, 18,195.47 and 7,520.00 is: 10,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.38 : 18,195.47 = 7,520.00 : x
  2. Step 2: Convert to fraction form
    13,185.38/18,195.47 = 7,520.00/x
  3. Step 3: Cross multiply
    13,185.38x = 18,195.47 × 7,520.00
  4. Step 4: Simplify right side
    13,185.38x = 136,829,961.09
  5. Step 5: Solve for x
    x = 136,829,961.09/13,185.38
  6. Step 6: Final answer
    x = 10,377.40

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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.