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Finding the Fourth Proportional to 17,138.40, 25,723.80 and 10,577.40

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Solution

The fourth proportional to 17,138.40, 25,723.80 and 10,577.40 is: 15,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.40 : 25,723.80 = 10,577.40 : x
  2. Step 2: Convert to fraction form
    17,138.40/25,723.80 = 10,577.40/x
  3. Step 3: Cross multiply
    17,138.40x = 25,723.80 × 10,577.40
  4. Step 4: Simplify right side
    17,138.40x = 272,090,922.12
  5. Step 5: Solve for x
    x = 272,090,922.12/17,138.40
  6. Step 6: Final answer
    x = 15,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.