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Finding the Fourth Proportional to 13,138.38, 18,130.98 and 7,170.08

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Solution

The fourth proportional to 13,138.38, 18,130.98 and 7,170.08 is: 9,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.38 : 18,130.98 = 7,170.08 : x
  2. Step 2: Convert to fraction form
    13,138.38/18,130.98 = 7,170.08/x
  3. Step 3: Cross multiply
    13,138.38x = 18,130.98 × 7,170.08
  4. Step 4: Simplify right side
    13,138.38x = 130,000,486.42
  5. Step 5: Solve for x
    x = 130,000,486.42/13,138.38
  6. Step 6: Final answer
    x = 9,894.71

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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.