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Finding the Fourth Proportional to 17,486, 24,130.92 and 10,034

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Solution

The fourth proportional to 17,486, 24,130.92 and 10,034 is: 13,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486 : 24,130.92 = 10,034 : x
  2. Step 2: Convert to fraction form
    17,486/24,130.92 = 10,034/x
  3. Step 3: Cross multiply
    17,486x = 24,130.92 × 10,034
  4. Step 4: Simplify right side
    17,486x = 242,129,651.28
  5. Step 5: Solve for x
    x = 242,129,651.28/17,486
  6. Step 6: Final answer
    x = 13,847.06

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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.