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Finding the Fourth Proportional to 14,599, 20,147.10 and 7,975

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Solution

The fourth proportional to 14,599, 20,147.10 and 7,975 is: 11,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599 : 20,147.10 = 7,975 : x
  2. Step 2: Convert to fraction form
    14,599/20,147.10 = 7,975/x
  3. Step 3: Cross multiply
    14,599x = 20,147.10 × 7,975
  4. Step 4: Simplify right side
    14,599x = 160,673,122.50
  5. Step 5: Solve for x
    x = 160,673,122.50/14,599
  6. Step 6: Final answer
    x = 11,005.76

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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.